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Finding the Fourth Proportional to 10,290.72, 15,434.22 and 2,893.38

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Solution

The fourth proportional to 10,290.72, 15,434.22 and 2,893.38 is: 4,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.72 : 15,434.22 = 2,893.38 : x
  2. Step 2: Convert to fraction form
    10,290.72/15,434.22 = 2,893.38/x
  3. Step 3: Cross multiply
    10,290.72x = 15,434.22 × 2,893.38
  4. Step 4: Simplify right side
    10,290.72x = 44,657,063.46
  5. Step 5: Solve for x
    x = 44,657,063.46/10,290.72
  6. Step 6: Final answer
    x = 4,339.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.