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Finding the Fourth Proportional to 7,642.32, 11,459.96 and 3,022.16

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Solution

The fourth proportional to 7,642.32, 11,459.96 and 3,022.16 is: 4,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.32 : 11,459.96 = 3,022.16 : x
  2. Step 2: Convert to fraction form
    7,642.32/11,459.96 = 3,022.16/x
  3. Step 3: Cross multiply
    7,642.32x = 11,459.96 × 3,022.16
  4. Step 4: Simplify right side
    7,642.32x = 34,633,832.71
  5. Step 5: Solve for x
    x = 34,633,832.71/7,642.32
  6. Step 6: Final answer
    x = 4,531.85

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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.