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Finding the Fourth Proportional to 7,687.74, 10,608.53 and 4,543.32

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Solution

The fourth proportional to 7,687.74, 10,608.53 and 4,543.32 is: 6,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.74 : 10,608.53 = 4,543.32 : x
  2. Step 2: Convert to fraction form
    7,687.74/10,608.53 = 4,543.32/x
  3. Step 3: Cross multiply
    7,687.74x = 10,608.53 × 4,543.32
  4. Step 4: Simplify right side
    7,687.74x = 48,197,923.80
  5. Step 5: Solve for x
    x = 48,197,923.80/7,687.74
  6. Step 6: Final answer
    x = 6,269.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.