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Finding the Fourth Proportional to 7,542.28, 10,384.08 and 6,477.94

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Solution

The fourth proportional to 7,542.28, 10,384.08 and 6,477.94 is: 8,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.28 : 10,384.08 = 6,477.94 : x
  2. Step 2: Convert to fraction form
    7,542.28/10,384.08 = 6,477.94/x
  3. Step 3: Cross multiply
    7,542.28x = 10,384.08 × 6,477.94
  4. Step 4: Simplify right side
    7,542.28x = 67,267,447.20
  5. Step 5: Solve for x
    x = 67,267,447.20/7,542.28
  6. Step 6: Final answer
    x = 8,918.72

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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.