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Finding the Fourth Proportional to 6,211.64, 8,572.11 and 3,417.14

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Solution

The fourth proportional to 6,211.64, 8,572.11 and 3,417.14 is: 4,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.64 : 8,572.11 = 3,417.14 : x
  2. Step 2: Convert to fraction form
    6,211.64/8,572.11 = 3,417.14/x
  3. Step 3: Cross multiply
    6,211.64x = 8,572.11 × 3,417.14
  4. Step 4: Simplify right side
    6,211.64x = 29,292,099.97
  5. Step 5: Solve for x
    x = 29,292,099.97/6,211.64
  6. Step 6: Final answer
    x = 4,715.68

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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.