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Finding the Fourth Proportional to 7,685.85, 10,608.66 and 4,543.86

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Solution

The fourth proportional to 7,685.85, 10,608.66 and 4,543.86 is: 6,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.85 : 10,608.66 = 4,543.86 : x
  2. Step 2: Convert to fraction form
    7,685.85/10,608.66 = 4,543.86/x
  3. Step 3: Cross multiply
    7,685.85x = 10,608.66 × 4,543.86
  4. Step 4: Simplify right side
    7,685.85x = 48,204,265.83
  5. Step 5: Solve for x
    x = 48,204,265.83/7,685.85
  6. Step 6: Final answer
    x = 6,271.82

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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.