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Finding the Fourth Proportional to 10,067.76, 15,095.76 and 3,045.68

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Solution

The fourth proportional to 10,067.76, 15,095.76 and 3,045.68 is: 4,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.76 : 15,095.76 = 3,045.68 : x
  2. Step 2: Convert to fraction form
    10,067.76/15,095.76 = 3,045.68/x
  3. Step 3: Cross multiply
    10,067.76x = 15,095.76 × 3,045.68
  4. Step 4: Simplify right side
    10,067.76x = 45,976,854.32
  5. Step 5: Solve for x
    x = 45,976,854.32/10,067.76
  6. Step 6: Final answer
    x = 4,566.74

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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.