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Finding the Fourth Proportional to 7,732.53, 10,671.75 and 4,588.92

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Solution

The fourth proportional to 7,732.53, 10,671.75 and 4,588.92 is: 6,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.53 : 10,671.75 = 4,588.92 : x
  2. Step 2: Convert to fraction form
    7,732.53/10,671.75 = 4,588.92/x
  3. Step 3: Cross multiply
    7,732.53x = 10,671.75 × 4,588.92
  4. Step 4: Simplify right side
    7,732.53x = 48,971,807.01
  5. Step 5: Solve for x
    x = 48,971,807.01/7,732.53
  6. Step 6: Final answer
    x = 6,333.22

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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.