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Finding the Fourth Proportional to 8,513.64, 12,770.30 and 2,357.48

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Solution

The fourth proportional to 8,513.64, 12,770.30 and 2,357.48 is: 3,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.64 : 12,770.30 = 2,357.48 : x
  2. Step 2: Convert to fraction form
    8,513.64/12,770.30 = 2,357.48/x
  3. Step 3: Cross multiply
    8,513.64x = 12,770.30 × 2,357.48
  4. Step 4: Simplify right side
    8,513.64x = 30,105,726.84
  5. Step 5: Solve for x
    x = 30,105,726.84/8,513.64
  6. Step 6: Final answer
    x = 3,536.18

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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.