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Finding the Fourth Proportional to 6,577.68, 9,082.08 and 4,221.12

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Solution

The fourth proportional to 6,577.68, 9,082.08 and 4,221.12 is: 5,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.68 : 9,082.08 = 4,221.12 : x
  2. Step 2: Convert to fraction form
    6,577.68/9,082.08 = 4,221.12/x
  3. Step 3: Cross multiply
    6,577.68x = 9,082.08 × 4,221.12
  4. Step 4: Simplify right side
    6,577.68x = 38,336,549.53
  5. Step 5: Solve for x
    x = 38,336,549.53/6,577.68
  6. Step 6: Final answer
    x = 5,828.28

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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.