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Finding the Fourth Proportional to 8,962.17, 13,462.69 and 7,578.28

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Solution

The fourth proportional to 8,962.17, 13,462.69 and 7,578.28 is: 11,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.17 : 13,462.69 = 7,578.28 : x
  2. Step 2: Convert to fraction form
    8,962.17/13,462.69 = 7,578.28/x
  3. Step 3: Cross multiply
    8,962.17x = 13,462.69 × 7,578.28
  4. Step 4: Simplify right side
    8,962.17x = 102,024,034.37
  5. Step 5: Solve for x
    x = 102,024,034.37/8,962.17
  6. Step 6: Final answer
    x = 11,383.85

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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.