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Finding the Fourth Proportional to 12,725.47, 17,561.12 and 7,061.08

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Solution

The fourth proportional to 12,725.47, 17,561.12 and 7,061.08 is: 9,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.47 : 17,561.12 = 7,061.08 : x
  2. Step 2: Convert to fraction form
    12,725.47/17,561.12 = 7,061.08/x
  3. Step 3: Cross multiply
    12,725.47x = 17,561.12 × 7,061.08
  4. Step 4: Simplify right side
    12,725.47x = 124,000,473.21
  5. Step 5: Solve for x
    x = 124,000,473.21/12,725.47
  6. Step 6: Final answer
    x = 9,744.27

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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.