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Finding the Fourth Proportional to 7,972.32, 10,978.83 and 7,948.02

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Solution

The fourth proportional to 7,972.32, 10,978.83 and 7,948.02 is: 10,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.32 : 10,978.83 = 7,948.02 : x
  2. Step 2: Convert to fraction form
    7,972.32/10,978.83 = 7,948.02/x
  3. Step 3: Cross multiply
    7,972.32x = 10,978.83 × 7,948.02
  4. Step 4: Simplify right side
    7,972.32x = 87,259,960.42
  5. Step 5: Solve for x
    x = 87,259,960.42/7,972.32
  6. Step 6: Final answer
    x = 10,945.37

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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.