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Finding the Fourth Proportional to 7,695.46, 11,543.19 and 5,943.02

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Solution

The fourth proportional to 7,695.46, 11,543.19 and 5,943.02 is: 8,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.46 : 11,543.19 = 5,943.02 : x
  2. Step 2: Convert to fraction form
    7,695.46/11,543.19 = 5,943.02/x
  3. Step 3: Cross multiply
    7,695.46x = 11,543.19 × 5,943.02
  4. Step 4: Simplify right side
    7,695.46x = 68,601,329.03
  5. Step 5: Solve for x
    x = 68,601,329.03/7,695.46
  6. Step 6: Final answer
    x = 8,914.52

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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.