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Finding the Fourth Proportional to 10,338.59, 15,513.02 and 4,098.47

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Solution

The fourth proportional to 10,338.59, 15,513.02 and 4,098.47 is: 6,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.59 : 15,513.02 = 4,098.47 : x
  2. Step 2: Convert to fraction form
    10,338.59/15,513.02 = 4,098.47/x
  3. Step 3: Cross multiply
    10,338.59x = 15,513.02 × 4,098.47
  4. Step 4: Simplify right side
    10,338.59x = 63,579,647.08
  5. Step 5: Solve for x
    x = 63,579,647.08/10,338.59
  6. Step 6: Final answer
    x = 6,149.74

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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.