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Finding the Fourth Proportional to 7,842.08, 11,758.71 and 3,159.56

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Solution

The fourth proportional to 7,842.08, 11,758.71 and 3,159.56 is: 4,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.08 : 11,758.71 = 3,159.56 : x
  2. Step 2: Convert to fraction form
    7,842.08/11,758.71 = 3,159.56/x
  3. Step 3: Cross multiply
    7,842.08x = 11,758.71 × 3,159.56
  4. Step 4: Simplify right side
    7,842.08x = 37,152,349.77
  5. Step 5: Solve for x
    x = 37,152,349.77/7,842.08
  6. Step 6: Final answer
    x = 4,737.56

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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.