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Finding the Fourth Proportional to 7,732.46, 10,671.34 and 4,375.26

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Solution

The fourth proportional to 7,732.46, 10,671.34 and 4,375.26 is: 6,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.46 : 10,671.34 = 4,375.26 : x
  2. Step 2: Convert to fraction form
    7,732.46/10,671.34 = 4,375.26/x
  3. Step 3: Cross multiply
    7,732.46x = 10,671.34 × 4,375.26
  4. Step 4: Simplify right side
    7,732.46x = 46,689,887.05
  5. Step 5: Solve for x
    x = 46,689,887.05/7,732.46
  6. Step 6: Final answer
    x = 6,038.17

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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.