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Finding the Fourth Proportional to 15,712.56, 23,562.90 and 7,916.04

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Solution

The fourth proportional to 15,712.56, 23,562.90 and 7,916.04 is: 11,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.56 : 23,562.90 = 7,916.04 : x
  2. Step 2: Convert to fraction form
    15,712.56/23,562.90 = 7,916.04/x
  3. Step 3: Cross multiply
    15,712.56x = 23,562.90 × 7,916.04
  4. Step 4: Simplify right side
    15,712.56x = 186,524,858.92
  5. Step 5: Solve for x
    x = 186,524,858.92/15,712.56
  6. Step 6: Final answer
    x = 11,871.07

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Why These Related Problems?

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