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Finding the Fourth Proportional to 10,847.39, 14,969.75 and 6,002.17

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Solution

The fourth proportional to 10,847.39, 14,969.75 and 6,002.17 is: 8,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.39 : 14,969.75 = 6,002.17 : x
  2. Step 2: Convert to fraction form
    10,847.39/14,969.75 = 6,002.17/x
  3. Step 3: Cross multiply
    10,847.39x = 14,969.75 × 6,002.17
  4. Step 4: Simplify right side
    10,847.39x = 89,850,916.92
  5. Step 5: Solve for x
    x = 89,850,916.92/10,847.39
  6. Step 6: Final answer
    x = 8,283.19

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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.