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Finding the Fourth Proportional to 8,440.86, 12,718.43 and 7,012.02

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Solution

The fourth proportional to 8,440.86, 12,718.43 and 7,012.02 is: 10,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.86 : 12,718.43 = 7,012.02 : x
  2. Step 2: Convert to fraction form
    8,440.86/12,718.43 = 7,012.02/x
  3. Step 3: Cross multiply
    8,440.86x = 12,718.43 × 7,012.02
  4. Step 4: Simplify right side
    8,440.86x = 89,181,850.47
  5. Step 5: Solve for x
    x = 89,181,850.47/8,440.86
  6. Step 6: Final answer
    x = 10,565.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.