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Finding the Fourth Proportional to 10,244.34, 15,377.04 and 5,312.66

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Solution

The fourth proportional to 10,244.34, 15,377.04 and 5,312.66 is: 7,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.34 : 15,377.04 = 5,312.66 : x
  2. Step 2: Convert to fraction form
    10,244.34/15,377.04 = 5,312.66/x
  3. Step 3: Cross multiply
    10,244.34x = 15,377.04 × 5,312.66
  4. Step 4: Simplify right side
    10,244.34x = 81,692,908.44
  5. Step 5: Solve for x
    x = 81,692,908.44/10,244.34
  6. Step 6: Final answer
    x = 7,974.44

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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.