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Finding the Fourth Proportional to 10,100.98, 15,152.49 and 2,706.18

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Solution

The fourth proportional to 10,100.98, 15,152.49 and 2,706.18 is: 4,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.98 : 15,152.49 = 2,706.18 : x
  2. Step 2: Convert to fraction form
    10,100.98/15,152.49 = 2,706.18/x
  3. Step 3: Cross multiply
    10,100.98x = 15,152.49 × 2,706.18
  4. Step 4: Simplify right side
    10,100.98x = 41,005,444.03
  5. Step 5: Solve for x
    x = 41,005,444.03/10,100.98
  6. Step 6: Final answer
    x = 4,059.55

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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.