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Finding the Fourth Proportional to 7,567.84, 10,431.60 and 6,073.12

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Solution

The fourth proportional to 7,567.84, 10,431.60 and 6,073.12 is: 8,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.84 : 10,431.60 = 6,073.12 : x
  2. Step 2: Convert to fraction form
    7,567.84/10,431.60 = 6,073.12/x
  3. Step 3: Cross multiply
    7,567.84x = 10,431.60 × 6,073.12
  4. Step 4: Simplify right side
    7,567.84x = 63,352,358.59
  5. Step 5: Solve for x
    x = 63,352,358.59/7,567.84
  6. Step 6: Final answer
    x = 8,371.26

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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.