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Finding the Fourth Proportional to 10,332.72, 14,255.65 and 7,144.83

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Solution

The fourth proportional to 10,332.72, 14,255.65 and 7,144.83 is: 9,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.72 : 14,255.65 = 7,144.83 : x
  2. Step 2: Convert to fraction form
    10,332.72/14,255.65 = 7,144.83/x
  3. Step 3: Cross multiply
    10,332.72x = 14,255.65 × 7,144.83
  4. Step 4: Simplify right side
    10,332.72x = 101,854,159.63
  5. Step 5: Solve for x
    x = 101,854,159.63/10,332.72
  6. Step 6: Final answer
    x = 9,857.44

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