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Finding the Fourth Proportional to 8,291.52, 12,420.24 and 4,387.68

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Solution

The fourth proportional to 8,291.52, 12,420.24 and 4,387.68 is: 6,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.52 : 12,420.24 = 4,387.68 : x
  2. Step 2: Convert to fraction form
    8,291.52/12,420.24 = 4,387.68/x
  3. Step 3: Cross multiply
    8,291.52x = 12,420.24 × 4,387.68
  4. Step 4: Simplify right side
    8,291.52x = 54,496,038.64
  5. Step 5: Solve for x
    x = 54,496,038.64/8,291.52
  6. Step 6: Final answer
    x = 6,572.50

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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.