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Finding the Fourth Proportional to 10,513.47, 14,508.63 and 5,797.74

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Solution

The fourth proportional to 10,513.47, 14,508.63 and 5,797.74 is: 8,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.47 : 14,508.63 = 5,797.74 : x
  2. Step 2: Convert to fraction form
    10,513.47/14,508.63 = 5,797.74/x
  3. Step 3: Cross multiply
    10,513.47x = 14,508.63 × 5,797.74
  4. Step 4: Simplify right side
    10,513.47x = 84,117,264.50
  5. Step 5: Solve for x
    x = 84,117,264.50/10,513.47
  6. Step 6: Final answer
    x = 8,000.90

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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.