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Finding the Fourth Proportional to 10,701.68, 14,765.81 and 6,222.74

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Solution

The fourth proportional to 10,701.68, 14,765.81 and 6,222.74 is: 8,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.68 : 14,765.81 = 6,222.74 : x
  2. Step 2: Convert to fraction form
    10,701.68/14,765.81 = 6,222.74/x
  3. Step 3: Cross multiply
    10,701.68x = 14,765.81 × 6,222.74
  4. Step 4: Simplify right side
    10,701.68x = 91,883,691.58
  5. Step 5: Solve for x
    x = 91,883,691.58/10,701.68
  6. Step 6: Final answer
    x = 8,585.92

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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.