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Finding the Fourth Proportional to 10,513.17, 14,508.14 and 5,797.71

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Solution

The fourth proportional to 10,513.17, 14,508.14 and 5,797.71 is: 8,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.17 : 14,508.14 = 5,797.71 : x
  2. Step 2: Convert to fraction form
    10,513.17/14,508.14 = 5,797.71/x
  3. Step 3: Cross multiply
    10,513.17x = 14,508.14 × 5,797.71
  4. Step 4: Simplify right side
    10,513.17x = 84,113,959.37
  5. Step 5: Solve for x
    x = 84,113,959.37/10,513.17
  6. Step 6: Final answer
    x = 8,000.82

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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.