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Finding the Fourth Proportional to 10,337.59, 15,511.52 and 4,097.47

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Solution

The fourth proportional to 10,337.59, 15,511.52 and 4,097.47 is: 6,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.59 : 15,511.52 = 4,097.47 : x
  2. Step 2: Convert to fraction form
    10,337.59/15,511.52 = 4,097.47/x
  3. Step 3: Cross multiply
    10,337.59x = 15,511.52 × 4,097.47
  4. Step 4: Simplify right side
    10,337.59x = 63,557,928.59
  5. Step 5: Solve for x
    x = 63,557,928.59/10,337.59
  6. Step 6: Final answer
    x = 6,148.23

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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.