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Finding the Fourth Proportional to 10,862.38, 16,299.23 and 5,931.10

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Solution

The fourth proportional to 10,862.38, 16,299.23 and 5,931.10 is: 8,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.38 : 16,299.23 = 5,931.10 : x
  2. Step 2: Convert to fraction form
    10,862.38/16,299.23 = 5,931.10/x
  3. Step 3: Cross multiply
    10,862.38x = 16,299.23 × 5,931.10
  4. Step 4: Simplify right side
    10,862.38x = 96,672,363.05
  5. Step 5: Solve for x
    x = 96,672,363.05/10,862.38
  6. Step 6: Final answer
    x = 8,899.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.