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Finding the Fourth Proportional to 10,513.74, 14,508.88 and 5,798.03

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Solution

The fourth proportional to 10,513.74, 14,508.88 and 5,798.03 is: 8,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.74 : 14,508.88 = 5,798.03 : x
  2. Step 2: Convert to fraction form
    10,513.74/14,508.88 = 5,798.03/x
  3. Step 3: Cross multiply
    10,513.74x = 14,508.88 × 5,798.03
  4. Step 4: Simplify right side
    10,513.74x = 84,122,834.47
  5. Step 5: Solve for x
    x = 84,122,834.47/10,513.74
  6. Step 6: Final answer
    x = 8,001.23

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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.