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Finding the Fourth Proportional to 11,972.39, 16,520.84 and 6,935

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Solution

The fourth proportional to 11,972.39, 16,520.84 and 6,935 is: 9,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.39 : 16,520.84 = 6,935 : x
  2. Step 2: Convert to fraction form
    11,972.39/16,520.84 = 6,935/x
  3. Step 3: Cross multiply
    11,972.39x = 16,520.84 × 6,935
  4. Step 4: Simplify right side
    11,972.39x = 114,572,025.40
  5. Step 5: Solve for x
    x = 114,572,025.40/11,972.39
  6. Step 6: Final answer
    x = 9,569.69

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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.