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Finding the Fourth Proportional to 7,752.48, 11,622.24 and 4,668

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Solution

The fourth proportional to 7,752.48, 11,622.24 and 4,668 is: 6,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.48 : 11,622.24 = 4,668 : x
  2. Step 2: Convert to fraction form
    7,752.48/11,622.24 = 4,668/x
  3. Step 3: Cross multiply
    7,752.48x = 11,622.24 × 4,668
  4. Step 4: Simplify right side
    7,752.48x = 54,252,616.32
  5. Step 5: Solve for x
    x = 54,252,616.32/7,752.48
  6. Step 6: Final answer
    x = 6,998.10

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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.