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Finding the Fourth Proportional to 7,732.58, 11,600.18 and 3,050.13

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Solution

The fourth proportional to 7,732.58, 11,600.18 and 3,050.13 is: 4,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.58 : 11,600.18 = 3,050.13 : x
  2. Step 2: Convert to fraction form
    7,732.58/11,600.18 = 3,050.13/x
  3. Step 3: Cross multiply
    7,732.58x = 11,600.18 × 3,050.13
  4. Step 4: Simplify right side
    7,732.58x = 35,382,096.71
  5. Step 5: Solve for x
    x = 35,382,096.71/7,732.58
  6. Step 6: Final answer
    x = 4,575.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.