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Finding the Fourth Proportional to 10,552.62, 15,834.44 and 7,654.85

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Solution

The fourth proportional to 10,552.62, 15,834.44 and 7,654.85 is: 11,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.62 : 15,834.44 = 7,654.85 : x
  2. Step 2: Convert to fraction form
    10,552.62/15,834.44 = 7,654.85/x
  3. Step 3: Cross multiply
    10,552.62x = 15,834.44 × 7,654.85
  4. Step 4: Simplify right side
    10,552.62x = 121,210,263.03
  5. Step 5: Solve for x
    x = 121,210,263.03/10,552.62
  6. Step 6: Final answer
    x = 11,486.27

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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.