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Finding the Fourth Proportional to 8,304, 11,458.40 and 4,766.56

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Solution

The fourth proportional to 8,304, 11,458.40 and 4,766.56 is: 6,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304 : 11,458.40 = 4,766.56 : x
  2. Step 2: Convert to fraction form
    8,304/11,458.40 = 4,766.56/x
  3. Step 3: Cross multiply
    8,304x = 11,458.40 × 4,766.56
  4. Step 4: Simplify right side
    8,304x = 54,617,151.10
  5. Step 5: Solve for x
    x = 54,617,151.10/8,304
  6. Step 6: Final answer
    x = 6,577.21

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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.