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Finding the Fourth Proportional to 8,493.64, 12,726.98 and 5,710.06

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Solution

The fourth proportional to 8,493.64, 12,726.98 and 5,710.06 is: 8,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.64 : 12,726.98 = 5,710.06 : x
  2. Step 2: Convert to fraction form
    8,493.64/12,726.98 = 5,710.06/x
  3. Step 3: Cross multiply
    8,493.64x = 12,726.98 × 5,710.06
  4. Step 4: Simplify right side
    8,493.64x = 72,671,819.42
  5. Step 5: Solve for x
    x = 72,671,819.42/8,493.64
  6. Step 6: Final answer
    x = 8,556.03

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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.