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Finding the Fourth Proportional to 10,078.47, 13,909.16 and 5,603.09

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Solution

The fourth proportional to 10,078.47, 13,909.16 and 5,603.09 is: 7,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.47 : 13,909.16 = 5,603.09 : x
  2. Step 2: Convert to fraction form
    10,078.47/13,909.16 = 5,603.09/x
  3. Step 3: Cross multiply
    10,078.47x = 13,909.16 × 5,603.09
  4. Step 4: Simplify right side
    10,078.47x = 77,934,177.74
  5. Step 5: Solve for x
    x = 77,934,177.74/10,078.47
  6. Step 6: Final answer
    x = 7,732.74

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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.