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Finding the Fourth Proportional to 12,725.78, 17,561.55 and 7,061.40

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Solution

The fourth proportional to 12,725.78, 17,561.55 and 7,061.40 is: 9,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.78 : 17,561.55 = 7,061.40 : x
  2. Step 2: Convert to fraction form
    12,725.78/17,561.55 = 7,061.40/x
  3. Step 3: Cross multiply
    12,725.78x = 17,561.55 × 7,061.40
  4. Step 4: Simplify right side
    12,725.78x = 124,009,129.17
  5. Step 5: Solve for x
    x = 124,009,129.17/12,725.78
  6. Step 6: Final answer
    x = 9,744.72

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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.