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Finding the Fourth Proportional to 10,274.14, 15,411.16 and 2,482.95

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Solution

The fourth proportional to 10,274.14, 15,411.16 and 2,482.95 is: 3,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.14 : 15,411.16 = 2,482.95 : x
  2. Step 2: Convert to fraction form
    10,274.14/15,411.16 = 2,482.95/x
  3. Step 3: Cross multiply
    10,274.14x = 15,411.16 × 2,482.95
  4. Step 4: Simplify right side
    10,274.14x = 38,265,139.72
  5. Step 5: Solve for x
    x = 38,265,139.72/10,274.14
  6. Step 6: Final answer
    x = 3,724.41

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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.