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Finding the Fourth Proportional to 10,404, 14,337.72 and 7,254.72

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Solution

The fourth proportional to 10,404, 14,337.72 and 7,254.72 is: 9,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404 : 14,337.72 = 7,254.72 : x
  2. Step 2: Convert to fraction form
    10,404/14,337.72 = 7,254.72/x
  3. Step 3: Cross multiply
    10,404x = 14,337.72 × 7,254.72
  4. Step 4: Simplify right side
    10,404x = 104,016,144.04
  5. Step 5: Solve for x
    x = 104,016,144.04/10,404
  6. Step 6: Final answer
    x = 9,997.71

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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.