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Finding the Fourth Proportional to 7,982.52, 11,957.46 and 6,507

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Solution

The fourth proportional to 7,982.52, 11,957.46 and 6,507 is: 9,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.52 : 11,957.46 = 6,507 : x
  2. Step 2: Convert to fraction form
    7,982.52/11,957.46 = 6,507/x
  3. Step 3: Cross multiply
    7,982.52x = 11,957.46 × 6,507
  4. Step 4: Simplify right side
    7,982.52x = 77,807,192.22
  5. Step 5: Solve for x
    x = 77,807,192.22/7,982.52
  6. Step 6: Final answer
    x = 9,747.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.