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Finding the Fourth Proportional to 7,854.42, 11,782.94 and 3,641.89

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Solution

The fourth proportional to 7,854.42, 11,782.94 and 3,641.89 is: 5,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.42 : 11,782.94 = 3,641.89 : x
  2. Step 2: Convert to fraction form
    7,854.42/11,782.94 = 3,641.89/x
  3. Step 3: Cross multiply
    7,854.42x = 11,782.94 × 3,641.89
  4. Step 4: Simplify right side
    7,854.42x = 42,912,171.36
  5. Step 5: Solve for x
    x = 42,912,171.36/7,854.42
  6. Step 6: Final answer
    x = 5,463.44

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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.