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Finding the Fourth Proportional to 10,588.96, 14,614.51 and 5,874.76

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Solution

The fourth proportional to 10,588.96, 14,614.51 and 5,874.76 is: 8,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.96 : 14,614.51 = 5,874.76 : x
  2. Step 2: Convert to fraction form
    10,588.96/14,614.51 = 5,874.76/x
  3. Step 3: Cross multiply
    10,588.96x = 14,614.51 × 5,874.76
  4. Step 4: Simplify right side
    10,588.96x = 85,856,665.70
  5. Step 5: Solve for x
    x = 85,856,665.70/10,588.96
  6. Step 6: Final answer
    x = 8,108.13

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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.