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Finding the Fourth Proportional to 7,753.14, 10,699.04 and 4,216.36

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Solution

The fourth proportional to 7,753.14, 10,699.04 and 4,216.36 is: 5,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.14 : 10,699.04 = 4,216.36 : x
  2. Step 2: Convert to fraction form
    7,753.14/10,699.04 = 4,216.36/x
  3. Step 3: Cross multiply
    7,753.14x = 10,699.04 × 4,216.36
  4. Step 4: Simplify right side
    7,753.14x = 45,111,004.29
  5. Step 5: Solve for x
    x = 45,111,004.29/7,753.14
  6. Step 6: Final answer
    x = 5,818.42

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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.