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Finding the Fourth Proportional to 8,432.74, 12,642.27 and 7,510.09

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Solution

The fourth proportional to 8,432.74, 12,642.27 and 7,510.09 is: 11,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.74 : 12,642.27 = 7,510.09 : x
  2. Step 2: Convert to fraction form
    8,432.74/12,642.27 = 7,510.09/x
  3. Step 3: Cross multiply
    8,432.74x = 12,642.27 × 7,510.09
  4. Step 4: Simplify right side
    8,432.74x = 94,944,585.50
  5. Step 5: Solve for x
    x = 94,944,585.50/8,432.74
  6. Step 6: Final answer
    x = 11,259.04

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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.