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Finding the Fourth Proportional to 7,642.72, 11,463.64 and 2,448.20

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Solution

The fourth proportional to 7,642.72, 11,463.64 and 2,448.20 is: 3,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.72 : 11,463.64 = 2,448.20 : x
  2. Step 2: Convert to fraction form
    7,642.72/11,463.64 = 2,448.20/x
  3. Step 3: Cross multiply
    7,642.72x = 11,463.64 × 2,448.20
  4. Step 4: Simplify right side
    7,642.72x = 28,065,283.45
  5. Step 5: Solve for x
    x = 28,065,283.45/7,642.72
  6. Step 6: Final answer
    x = 3,672.16

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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.