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Finding the Fourth Proportional to 10,513, 14,508.04 and 5,797.46

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Solution

The fourth proportional to 10,513, 14,508.04 and 5,797.46 is: 8,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513 : 14,508.04 = 5,797.46 : x
  2. Step 2: Convert to fraction form
    10,513/14,508.04 = 5,797.46/x
  3. Step 3: Cross multiply
    10,513x = 14,508.04 × 5,797.46
  4. Step 4: Simplify right side
    10,513x = 84,109,781.58
  5. Step 5: Solve for x
    x = 84,109,781.58/10,513
  6. Step 6: Final answer
    x = 8,000.55

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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.