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Finding the Fourth Proportional to 8,723.41, 12,034.07 and 5,184.12

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Solution

The fourth proportional to 8,723.41, 12,034.07 and 5,184.12 is: 7,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.41 : 12,034.07 = 5,184.12 : x
  2. Step 2: Convert to fraction form
    8,723.41/12,034.07 = 5,184.12/x
  3. Step 3: Cross multiply
    8,723.41x = 12,034.07 × 5,184.12
  4. Step 4: Simplify right side
    8,723.41x = 62,386,062.97
  5. Step 5: Solve for x
    x = 62,386,062.97/8,723.41
  6. Step 6: Final answer
    x = 7,151.57

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1.5x scale

Why These Related Problems?

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