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Finding the Fourth Proportional to 10,751.52, 14,843.28 and 7,165.53

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Solution

The fourth proportional to 10,751.52, 14,843.28 and 7,165.53 is: 9,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.52 : 14,843.28 = 7,165.53 : x
  2. Step 2: Convert to fraction form
    10,751.52/14,843.28 = 7,165.53/x
  3. Step 3: Cross multiply
    10,751.52x = 14,843.28 × 7,165.53
  4. Step 4: Simplify right side
    10,751.52x = 106,359,968.14
  5. Step 5: Solve for x
    x = 106,359,968.14/10,751.52
  6. Step 6: Final answer
    x = 9,892.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.