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Finding the Fourth Proportional to 12,865.61, 17,758.02 and 7,562.13

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Solution

The fourth proportional to 12,865.61, 17,758.02 and 7,562.13 is: 10,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.61 : 17,758.02 = 7,562.13 : x
  2. Step 2: Convert to fraction form
    12,865.61/17,758.02 = 7,562.13/x
  3. Step 3: Cross multiply
    12,865.61x = 17,758.02 × 7,562.13
  4. Step 4: Simplify right side
    12,865.61x = 134,288,455.78
  5. Step 5: Solve for x
    x = 134,288,455.78/12,865.61
  6. Step 6: Final answer
    x = 10,437.79

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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.