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Finding the Fourth Proportional to 7,562.64, 11,326.80 and 4,046.40

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Solution

The fourth proportional to 7,562.64, 11,326.80 and 4,046.40 is: 6,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.64 : 11,326.80 = 4,046.40 : x
  2. Step 2: Convert to fraction form
    7,562.64/11,326.80 = 4,046.40/x
  3. Step 3: Cross multiply
    7,562.64x = 11,326.80 × 4,046.40
  4. Step 4: Simplify right side
    7,562.64x = 45,832,763.52
  5. Step 5: Solve for x
    x = 45,832,763.52/7,562.64
  6. Step 6: Final answer
    x = 6,060.42

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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.