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Finding the Fourth Proportional to 7,677.18, 10,591.83 and 4,532.22

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Solution

The fourth proportional to 7,677.18, 10,591.83 and 4,532.22 is: 6,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.18 : 10,591.83 = 4,532.22 : x
  2. Step 2: Convert to fraction form
    7,677.18/10,591.83 = 4,532.22/x
  3. Step 3: Cross multiply
    7,677.18x = 10,591.83 × 4,532.22
  4. Step 4: Simplify right side
    7,677.18x = 48,004,503.76
  5. Step 5: Solve for x
    x = 48,004,503.76/7,677.18
  6. Step 6: Final answer
    x = 6,252.88

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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.