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Finding the Fourth Proportional to 7,642.80, 11,438.28 and 4,566.96

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Solution

The fourth proportional to 7,642.80, 11,438.28 and 4,566.96 is: 6,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.80 : 11,438.28 = 4,566.96 : x
  2. Step 2: Convert to fraction form
    7,642.80/11,438.28 = 4,566.96/x
  3. Step 3: Cross multiply
    7,642.80x = 11,438.28 × 4,566.96
  4. Step 4: Simplify right side
    7,642.80x = 52,238,167.23
  5. Step 5: Solve for x
    x = 52,238,167.23/7,642.80
  6. Step 6: Final answer
    x = 6,834.95

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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.