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Finding the Fourth Proportional to 28,614.10, 42,916.56 and 7,832.74

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Solution

The fourth proportional to 28,614.10, 42,916.56 and 7,832.74 is: 11,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,614.10 : 42,916.56 = 7,832.74 : x
  2. Step 2: Convert to fraction form
    28,614.10/42,916.56 = 7,832.74/x
  3. Step 3: Cross multiply
    28,614.10x = 42,916.56 × 7,832.74
  4. Step 4: Simplify right side
    28,614.10x = 336,154,256.17
  5. Step 5: Solve for x
    x = 336,154,256.17/28,614.10
  6. Step 6: Final answer
    x = 11,747.85

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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.