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Finding the Fourth Proportional to 8,962.52, 13,440.52 and 3,417.40

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Solution

The fourth proportional to 8,962.52, 13,440.52 and 3,417.40 is: 5,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.52 : 13,440.52 = 3,417.40 : x
  2. Step 2: Convert to fraction form
    8,962.52/13,440.52 = 3,417.40/x
  3. Step 3: Cross multiply
    8,962.52x = 13,440.52 × 3,417.40
  4. Step 4: Simplify right side
    8,962.52x = 45,931,633.05
  5. Step 5: Solve for x
    x = 45,931,633.05/8,962.52
  6. Step 6: Final answer
    x = 5,124.86

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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.