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Finding the Fourth Proportional to 10,639.79, 14,684.66 and 8,117.14

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Solution

The fourth proportional to 10,639.79, 14,684.66 and 8,117.14 is: 11,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.79 : 14,684.66 = 8,117.14 : x
  2. Step 2: Convert to fraction form
    10,639.79/14,684.66 = 8,117.14/x
  3. Step 3: Cross multiply
    10,639.79x = 14,684.66 × 8,117.14
  4. Step 4: Simplify right side
    10,639.79x = 119,197,441.07
  5. Step 5: Solve for x
    x = 119,197,441.07/10,639.79
  6. Step 6: Final answer
    x = 11,202.99

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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.