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Finding the Fourth Proportional to 7,497.43, 11,242.94 and 2,567.57

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Solution

The fourth proportional to 7,497.43, 11,242.94 and 2,567.57 is: 3,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.43 : 11,242.94 = 2,567.57 : x
  2. Step 2: Convert to fraction form
    7,497.43/11,242.94 = 2,567.57/x
  3. Step 3: Cross multiply
    7,497.43x = 11,242.94 × 2,567.57
  4. Step 4: Simplify right side
    7,497.43x = 28,866,966.40
  5. Step 5: Solve for x
    x = 28,866,966.40/7,497.43
  6. Step 6: Final answer
    x = 3,850.25

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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.