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Finding the Fourth Proportional to 10,476.04, 15,709.14 and 3,902.08

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Solution

The fourth proportional to 10,476.04, 15,709.14 and 3,902.08 is: 5,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.04 : 15,709.14 = 3,902.08 : x
  2. Step 2: Convert to fraction form
    10,476.04/15,709.14 = 3,902.08/x
  3. Step 3: Cross multiply
    10,476.04x = 15,709.14 × 3,902.08
  4. Step 4: Simplify right side
    10,476.04x = 61,298,321.01
  5. Step 5: Solve for x
    x = 61,298,321.01/10,476.04
  6. Step 6: Final answer
    x = 5,851.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.