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Finding the Fourth Proportional to 10,079.10, 13,908.10 and 5,602.14

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Solution

The fourth proportional to 10,079.10, 13,908.10 and 5,602.14 is: 7,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.10 : 13,908.10 = 5,602.14 : x
  2. Step 2: Convert to fraction form
    10,079.10/13,908.10 = 5,602.14/x
  3. Step 3: Cross multiply
    10,079.10x = 13,908.10 × 5,602.14
  4. Step 4: Simplify right side
    10,079.10x = 77,915,123.33
  5. Step 5: Solve for x
    x = 77,915,123.33/10,079.10
  6. Step 6: Final answer
    x = 7,730.37

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