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Finding the Fourth Proportional to 7,085.76, 10,626.48 and 5,695.80

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Solution

The fourth proportional to 7,085.76, 10,626.48 and 5,695.80 is: 8,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.76 : 10,626.48 = 5,695.80 : x
  2. Step 2: Convert to fraction form
    7,085.76/10,626.48 = 5,695.80/x
  3. Step 3: Cross multiply
    7,085.76x = 10,626.48 × 5,695.80
  4. Step 4: Simplify right side
    7,085.76x = 60,526,304.78
  5. Step 5: Solve for x
    x = 60,526,304.78/7,085.76
  6. Step 6: Final answer
    x = 8,541.96

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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.