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Finding the Fourth Proportional to 10,524.64, 14,521.12 and 7,161.44

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Solution

The fourth proportional to 10,524.64, 14,521.12 and 7,161.44 is: 9,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.64 : 14,521.12 = 7,161.44 : x
  2. Step 2: Convert to fraction form
    10,524.64/14,521.12 = 7,161.44/x
  3. Step 3: Cross multiply
    10,524.64x = 14,521.12 × 7,161.44
  4. Step 4: Simplify right side
    10,524.64x = 103,992,129.61
  5. Step 5: Solve for x
    x = 103,992,129.61/10,524.64
  6. Step 6: Final answer
    x = 9,880.83

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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.