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Finding the Fourth Proportional to 26,498.49, 39,750.47 and 7,778.46

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Solution

The fourth proportional to 26,498.49, 39,750.47 and 7,778.46 is: 11,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498.49 : 39,750.47 = 7,778.46 : x
  2. Step 2: Convert to fraction form
    26,498.49/39,750.47 = 7,778.46/x
  3. Step 3: Cross multiply
    26,498.49x = 39,750.47 × 7,778.46
  4. Step 4: Simplify right side
    26,498.49x = 309,197,266.70
  5. Step 5: Solve for x
    x = 309,197,266.70/26,498.49
  6. Step 6: Final answer
    x = 11,668.49

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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.