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Finding the Fourth Proportional to 10,029.58, 15,039.64 and 3,006.88

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Solution

The fourth proportional to 10,029.58, 15,039.64 and 3,006.88 is: 4,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.58 : 15,039.64 = 3,006.88 : x
  2. Step 2: Convert to fraction form
    10,029.58/15,039.64 = 3,006.88/x
  3. Step 3: Cross multiply
    10,029.58x = 15,039.64 × 3,006.88
  4. Step 4: Simplify right side
    10,029.58x = 45,222,392.72
  5. Step 5: Solve for x
    x = 45,222,392.72/10,029.58
  6. Step 6: Final answer
    x = 4,508.90

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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.