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Finding the Fourth Proportional to 8,966.52, 13,446.52 and 3,421.40

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Solution

The fourth proportional to 8,966.52, 13,446.52 and 3,421.40 is: 5,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.52 : 13,446.52 = 3,421.40 : x
  2. Step 2: Convert to fraction form
    8,966.52/13,446.52 = 3,421.40/x
  3. Step 3: Cross multiply
    8,966.52x = 13,446.52 × 3,421.40
  4. Step 4: Simplify right side
    8,966.52x = 46,005,923.53
  5. Step 5: Solve for x
    x = 46,005,923.53/8,966.52
  6. Step 6: Final answer
    x = 5,130.86

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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.