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Finding the Fourth Proportional to 8,412.75, 11,613.24 and 5,270.76

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Solution

The fourth proportional to 8,412.75, 11,613.24 and 5,270.76 is: 7,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.75 : 11,613.24 = 5,270.76 : x
  2. Step 2: Convert to fraction form
    8,412.75/11,613.24 = 5,270.76/x
  3. Step 3: Cross multiply
    8,412.75x = 11,613.24 × 5,270.76
  4. Step 4: Simplify right side
    8,412.75x = 61,210,600.86
  5. Step 5: Solve for x
    x = 61,210,600.86/8,412.75
  6. Step 6: Final answer
    x = 7,275.93

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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.