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Finding the Fourth Proportional to 10,612.43, 15,916.04 and 3,856.91

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Solution

The fourth proportional to 10,612.43, 15,916.04 and 3,856.91 is: 5,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.43 : 15,916.04 = 3,856.91 : x
  2. Step 2: Convert to fraction form
    10,612.43/15,916.04 = 3,856.91/x
  3. Step 3: Cross multiply
    10,612.43x = 15,916.04 × 3,856.91
  4. Step 4: Simplify right side
    10,612.43x = 61,386,733.84
  5. Step 5: Solve for x
    x = 61,386,733.84/10,612.43
  6. Step 6: Final answer
    x = 5,784.42

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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.