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Finding the Fourth Proportional to 7,456.59, 11,184.80 and 1,909.89

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Solution

The fourth proportional to 7,456.59, 11,184.80 and 1,909.89 is: 2,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.59 : 11,184.80 = 1,909.89 : x
  2. Step 2: Convert to fraction form
    7,456.59/11,184.80 = 1,909.89/x
  3. Step 3: Cross multiply
    7,456.59x = 11,184.80 × 1,909.89
  4. Step 4: Simplify right side
    7,456.59x = 21,361,737.67
  5. Step 5: Solve for x
    x = 21,361,737.67/7,456.59
  6. Step 6: Final answer
    x = 2,864.81

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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.