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Finding the Fourth Proportional to 7,735.32, 10,677.50 and 4,591.50

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Solution

The fourth proportional to 7,735.32, 10,677.50 and 4,591.50 is: 6,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.32 : 10,677.50 = 4,591.50 : x
  2. Step 2: Convert to fraction form
    7,735.32/10,677.50 = 4,591.50/x
  3. Step 3: Cross multiply
    7,735.32x = 10,677.50 × 4,591.50
  4. Step 4: Simplify right side
    7,735.32x = 49,025,718.29
  5. Step 5: Solve for x
    x = 49,025,718.29/7,735.32
  6. Step 6: Final answer
    x = 6,337.90

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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.