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Finding the Fourth Proportional to 7,732.87, 10,671.65 and 4,375.82

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Solution

The fourth proportional to 7,732.87, 10,671.65 and 4,375.82 is: 6,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.87 : 10,671.65 = 4,375.82 : x
  2. Step 2: Convert to fraction form
    7,732.87/10,671.65 = 4,375.82/x
  3. Step 3: Cross multiply
    7,732.87x = 10,671.65 × 4,375.82
  4. Step 4: Simplify right side
    7,732.87x = 46,697,240.71
  5. Step 5: Solve for x
    x = 46,697,240.71/7,732.87
  6. Step 6: Final answer
    x = 6,038.80

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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.