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Finding the Fourth Proportional to 11,442.12, 15,790.02 and 6,406.80

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Solution

The fourth proportional to 11,442.12, 15,790.02 and 6,406.80 is: 8,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.12 : 15,790.02 = 6,406.80 : x
  2. Step 2: Convert to fraction form
    11,442.12/15,790.02 = 6,406.80/x
  3. Step 3: Cross multiply
    11,442.12x = 15,790.02 × 6,406.80
  4. Step 4: Simplify right side
    11,442.12x = 101,163,500.14
  5. Step 5: Solve for x
    x = 101,163,500.14/11,442.12
  6. Step 6: Final answer
    x = 8,841.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.