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Finding the Fourth Proportional to 7,158.64, 10,740.84 and 2,544.88

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Solution

The fourth proportional to 7,158.64, 10,740.84 and 2,544.88 is: 3,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.64 : 10,740.84 = 2,544.88 : x
  2. Step 2: Convert to fraction form
    7,158.64/10,740.84 = 2,544.88/x
  3. Step 3: Cross multiply
    7,158.64x = 10,740.84 × 2,544.88
  4. Step 4: Simplify right side
    7,158.64x = 27,334,148.90
  5. Step 5: Solve for x
    x = 27,334,148.90/7,158.64
  6. Step 6: Final answer
    x = 3,818.34

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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.