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Finding the Fourth Proportional to 10,981.17, 15,146.73 and 7,007.31

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Solution

The fourth proportional to 10,981.17, 15,146.73 and 7,007.31 is: 9,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.17 : 15,146.73 = 7,007.31 : x
  2. Step 2: Convert to fraction form
    10,981.17/15,146.73 = 7,007.31/x
  3. Step 3: Cross multiply
    10,981.17x = 15,146.73 × 7,007.31
  4. Step 4: Simplify right side
    10,981.17x = 106,137,832.60
  5. Step 5: Solve for x
    x = 106,137,832.60/10,981.17
  6. Step 6: Final answer
    x = 9,665.44

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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.