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Finding the Fourth Proportional to 10,191.84, 15,279.09 and 4,643.22

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Solution

The fourth proportional to 10,191.84, 15,279.09 and 4,643.22 is: 6,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.84 : 15,279.09 = 4,643.22 : x
  2. Step 2: Convert to fraction form
    10,191.84/15,279.09 = 4,643.22/x
  3. Step 3: Cross multiply
    10,191.84x = 15,279.09 × 4,643.22
  4. Step 4: Simplify right side
    10,191.84x = 70,944,176.27
  5. Step 5: Solve for x
    x = 70,944,176.27/10,191.84
  6. Step 6: Final answer
    x = 6,960.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.