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Finding the Fourth Proportional to 7,648.64, 11,473.48 and 2,454.20

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Solution

The fourth proportional to 7,648.64, 11,473.48 and 2,454.20 is: 3,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.64 : 11,473.48 = 2,454.20 : x
  2. Step 2: Convert to fraction form
    7,648.64/11,473.48 = 2,454.20/x
  3. Step 3: Cross multiply
    7,648.64x = 11,473.48 × 2,454.20
  4. Step 4: Simplify right side
    7,648.64x = 28,158,214.62
  5. Step 5: Solve for x
    x = 28,158,214.62/7,648.64
  6. Step 6: Final answer
    x = 3,681.47

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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.