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Finding the Fourth Proportional to 7,132.76, 10,702.33 and 3,842.03

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Solution

The fourth proportional to 7,132.76, 10,702.33 and 3,842.03 is: 5,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.76 : 10,702.33 = 3,842.03 : x
  2. Step 2: Convert to fraction form
    7,132.76/10,702.33 = 3,842.03/x
  3. Step 3: Cross multiply
    7,132.76x = 10,702.33 × 3,842.03
  4. Step 4: Simplify right side
    7,132.76x = 41,118,690.08
  5. Step 5: Solve for x
    x = 41,118,690.08/7,132.76
  6. Step 6: Final answer
    x = 5,764.77

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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.