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Finding the Fourth Proportional to 9,981.24, 13,759.79 and 7,853.10

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Solution

The fourth proportional to 9,981.24, 13,759.79 and 7,853.10 is: 10,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.24 : 13,759.79 = 7,853.10 : x
  2. Step 2: Convert to fraction form
    9,981.24/13,759.79 = 7,853.10/x
  3. Step 3: Cross multiply
    9,981.24x = 13,759.79 × 7,853.10
  4. Step 4: Simplify right side
    9,981.24x = 108,056,938.05
  5. Step 5: Solve for x
    x = 108,056,938.05/9,981.24
  6. Step 6: Final answer
    x = 10,826.01

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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.