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Finding the Fourth Proportional to 7,494.64, 11,242.52 and 2,300.68

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Solution

The fourth proportional to 7,494.64, 11,242.52 and 2,300.68 is: 3,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.64 : 11,242.52 = 2,300.68 : x
  2. Step 2: Convert to fraction form
    7,494.64/11,242.52 = 2,300.68/x
  3. Step 3: Cross multiply
    7,494.64x = 11,242.52 × 2,300.68
  4. Step 4: Simplify right side
    7,494.64x = 25,865,440.91
  5. Step 5: Solve for x
    x = 25,865,440.91/7,494.64
  6. Step 6: Final answer
    x = 3,451.19

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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.