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Finding the Fourth Proportional to 12,957.65, 17,882.13 and 7,652.49

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Solution

The fourth proportional to 12,957.65, 17,882.13 and 7,652.49 is: 10,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.65 : 17,882.13 = 7,652.49 : x
  2. Step 2: Convert to fraction form
    12,957.65/17,882.13 = 7,652.49/x
  3. Step 3: Cross multiply
    12,957.65x = 17,882.13 × 7,652.49
  4. Step 4: Simplify right side
    12,957.65x = 136,842,821.00
  5. Step 5: Solve for x
    x = 136,842,821.00/12,957.65
  6. Step 6: Final answer
    x = 10,560.77

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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.