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Finding the Fourth Proportional to 10,403, 14,356.02 and 5,687.24

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Solution

The fourth proportional to 10,403, 14,356.02 and 5,687.24 is: 7,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403 : 14,356.02 = 5,687.24 : x
  2. Step 2: Convert to fraction form
    10,403/14,356.02 = 5,687.24/x
  3. Step 3: Cross multiply
    10,403x = 14,356.02 × 5,687.24
  4. Step 4: Simplify right side
    10,403x = 81,646,131.18
  5. Step 5: Solve for x
    x = 81,646,131.18/10,403
  6. Step 6: Final answer
    x = 7,848.33

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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.