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Finding the Fourth Proportional to 10,274.18, 15,411.31 and 2,482.98

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Solution

The fourth proportional to 10,274.18, 15,411.31 and 2,482.98 is: 3,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.18 : 15,411.31 = 2,482.98 : x
  2. Step 2: Convert to fraction form
    10,274.18/15,411.31 = 2,482.98/x
  3. Step 3: Cross multiply
    10,274.18x = 15,411.31 × 2,482.98
  4. Step 4: Simplify right side
    10,274.18x = 38,265,974.50
  5. Step 5: Solve for x
    x = 38,265,974.50/10,274.18
  6. Step 6: Final answer
    x = 3,724.48

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Why These Related Problems?

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