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Finding the Fourth Proportional to 7,156.34, 10,677.10 and 6,366.97

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Solution

The fourth proportional to 7,156.34, 10,677.10 and 6,366.97 is: 9,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.34 : 10,677.10 = 6,366.97 : x
  2. Step 2: Convert to fraction form
    7,156.34/10,677.10 = 6,366.97/x
  3. Step 3: Cross multiply
    7,156.34x = 10,677.10 × 6,366.97
  4. Step 4: Simplify right side
    7,156.34x = 67,980,732.78
  5. Step 5: Solve for x
    x = 67,980,732.78/7,156.34
  6. Step 6: Final answer
    x = 9,499.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.