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Finding the Fourth Proportional to 8,937.52, 13,402.32 and 4,776.52

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Solution

The fourth proportional to 8,937.52, 13,402.32 and 4,776.52 is: 7,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.52 : 13,402.32 = 4,776.52 : x
  2. Step 2: Convert to fraction form
    8,937.52/13,402.32 = 4,776.52/x
  3. Step 3: Cross multiply
    8,937.52x = 13,402.32 × 4,776.52
  4. Step 4: Simplify right side
    8,937.52x = 64,016,449.53
  5. Step 5: Solve for x
    x = 64,016,449.53/8,937.52
  6. Step 6: Final answer
    x = 7,162.66

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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.