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Finding the Fourth Proportional to 7,339, 10,127.72 and 3,981.82

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Solution

The fourth proportional to 7,339, 10,127.72 and 3,981.82 is: 5,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339 : 10,127.72 = 3,981.82 : x
  2. Step 2: Convert to fraction form
    7,339/10,127.72 = 3,981.82/x
  3. Step 3: Cross multiply
    7,339x = 10,127.72 × 3,981.82
  4. Step 4: Simplify right side
    7,339x = 40,326,758.05
  5. Step 5: Solve for x
    x = 40,326,758.05/7,339
  6. Step 6: Final answer
    x = 5,494.86

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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.