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Finding the Fourth Proportional to 7,549.66, 10,414.44 and 4,566.46

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Solution

The fourth proportional to 7,549.66, 10,414.44 and 4,566.46 is: 6,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.66 : 10,414.44 = 4,566.46 : x
  2. Step 2: Convert to fraction form
    7,549.66/10,414.44 = 4,566.46/x
  3. Step 3: Cross multiply
    7,549.66x = 10,414.44 × 4,566.46
  4. Step 4: Simplify right side
    7,549.66x = 47,557,123.68
  5. Step 5: Solve for x
    x = 47,557,123.68/7,549.66
  6. Step 6: Final answer
    x = 6,299.24

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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.