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Finding the Fourth Proportional to 10,227,978, 14,114,948.52 and 5,582,017.26

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Solution

The fourth proportional to 10,227,978, 14,114,948.52 and 5,582,017.26 is: 7,703,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227,978 : 14,114,948.52 = 5,582,017.26 : x
  2. Step 2: Convert to fraction form
    10,227,978/14,114,948.52 = 5,582,017.26/x
  3. Step 3: Cross multiply
    10,227,978x = 14,114,948.52 × 5,582,017.26
  4. Step 4: Simplify right side
    10,227,978x = 78,789,886,262,651.45
  5. Step 5: Solve for x
    x = 78,789,886,262,651.45/10,227,978
  6. Step 6: Final answer
    x = 7,703,368.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.