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Finding the Fourth Proportional to 6,456.64, 8,911.20 and 3,663.04

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Solution

The fourth proportional to 6,456.64, 8,911.20 and 3,663.04 is: 5,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.64 : 8,911.20 = 3,663.04 : x
  2. Step 2: Convert to fraction form
    6,456.64/8,911.20 = 3,663.04/x
  3. Step 3: Cross multiply
    6,456.64x = 8,911.20 × 3,663.04
  4. Step 4: Simplify right side
    6,456.64x = 32,642,082.05
  5. Step 5: Solve for x
    x = 32,642,082.05/6,456.64
  6. Step 6: Final answer
    x = 5,055.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.