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Finding the Fourth Proportional to 10,513.71, 14,508.81 and 5,797.89

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Solution

The fourth proportional to 10,513.71, 14,508.81 and 5,797.89 is: 8,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.71 : 14,508.81 = 5,797.89 : x
  2. Step 2: Convert to fraction form
    10,513.71/14,508.81 = 5,797.89/x
  3. Step 3: Cross multiply
    10,513.71x = 14,508.81 × 5,797.89
  4. Step 4: Simplify right side
    10,513.71x = 84,120,484.41
  5. Step 5: Solve for x
    x = 84,120,484.41/10,513.71
  6. Step 6: Final answer
    x = 8,001.03

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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.