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Finding the Fourth Proportional to 10,657.84, 15,988.50 and 3,260.56

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Solution

The fourth proportional to 10,657.84, 15,988.50 and 3,260.56 is: 4,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.84 : 15,988.50 = 3,260.56 : x
  2. Step 2: Convert to fraction form
    10,657.84/15,988.50 = 3,260.56/x
  3. Step 3: Cross multiply
    10,657.84x = 15,988.50 × 3,260.56
  4. Step 4: Simplify right side
    10,657.84x = 52,131,463.56
  5. Step 5: Solve for x
    x = 52,131,463.56/10,657.84
  6. Step 6: Final answer
    x = 4,891.37

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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.