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Finding the Fourth Proportional to 8,507.52, 12,684.96 and 8,352

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Solution

The fourth proportional to 8,507.52, 12,684.96 and 8,352 is: 12,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.52 : 12,684.96 = 8,352 : x
  2. Step 2: Convert to fraction form
    8,507.52/12,684.96 = 8,352/x
  3. Step 3: Cross multiply
    8,507.52x = 12,684.96 × 8,352
  4. Step 4: Simplify right side
    8,507.52x = 105,944,785.92
  5. Step 5: Solve for x
    x = 105,944,785.92/8,507.52
  6. Step 6: Final answer
    x = 12,453.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.