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Finding the Fourth Proportional to 7,641.79, 11,462.62 and 4,543.27

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Solution

The fourth proportional to 7,641.79, 11,462.62 and 4,543.27 is: 6,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.79 : 11,462.62 = 4,543.27 : x
  2. Step 2: Convert to fraction form
    7,641.79/11,462.62 = 4,543.27/x
  3. Step 3: Cross multiply
    7,641.79x = 11,462.62 × 4,543.27
  4. Step 4: Simplify right side
    7,641.79x = 52,077,777.57
  5. Step 5: Solve for x
    x = 52,077,777.57/7,641.79
  6. Step 6: Final answer
    x = 6,814.87

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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.