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Finding the Fourth Proportional to 10,400.67, 15,577.65 and 8,044.11

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Solution

The fourth proportional to 10,400.67, 15,577.65 and 8,044.11 is: 12,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.67 : 15,577.65 = 8,044.11 : x
  2. Step 2: Convert to fraction form
    10,400.67/15,577.65 = 8,044.11/x
  3. Step 3: Cross multiply
    10,400.67x = 15,577.65 × 8,044.11
  4. Step 4: Simplify right side
    10,400.67x = 125,308,330.14
  5. Step 5: Solve for x
    x = 125,308,330.14/10,400.67
  6. Step 6: Final answer
    x = 12,048.10

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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.