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Finding the Fourth Proportional to 10,040.74, 15,049.16 and 7,567.40

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Solution

The fourth proportional to 10,040.74, 15,049.16 and 7,567.40 is: 11,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.74 : 15,049.16 = 7,567.40 : x
  2. Step 2: Convert to fraction form
    10,040.74/15,049.16 = 7,567.40/x
  3. Step 3: Cross multiply
    10,040.74x = 15,049.16 × 7,567.40
  4. Step 4: Simplify right side
    10,040.74x = 113,883,013.38
  5. Step 5: Solve for x
    x = 113,883,013.38/10,040.74
  6. Step 6: Final answer
    x = 11,342.09

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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.