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Finding the Fourth Proportional to 10,274.16, 15,411.04 and 2,482.88

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Solution

The fourth proportional to 10,274.16, 15,411.04 and 2,482.88 is: 3,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.16 : 15,411.04 = 2,482.88 : x
  2. Step 2: Convert to fraction form
    10,274.16/15,411.04 = 2,482.88/x
  3. Step 3: Cross multiply
    10,274.16x = 15,411.04 × 2,482.88
  4. Step 4: Simplify right side
    10,274.16x = 38,263,763.00
  5. Step 5: Solve for x
    x = 38,263,763.00/10,274.16
  6. Step 6: Final answer
    x = 3,724.27

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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.