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Finding the Fourth Proportional to 8,494.86, 11,722.14 and 4,718.10

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Solution

The fourth proportional to 8,494.86, 11,722.14 and 4,718.10 is: 6,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.86 : 11,722.14 = 4,718.10 : x
  2. Step 2: Convert to fraction form
    8,494.86/11,722.14 = 4,718.10/x
  3. Step 3: Cross multiply
    8,494.86x = 11,722.14 × 4,718.10
  4. Step 4: Simplify right side
    8,494.86x = 55,306,228.73
  5. Step 5: Solve for x
    x = 55,306,228.73/8,494.86
  6. Step 6: Final answer
    x = 6,510.55

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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.