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Finding the Fourth Proportional to 10,297.45, 15,432.27 and 7,511.05

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Solution

The fourth proportional to 10,297.45, 15,432.27 and 7,511.05 is: 11,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.45 : 15,432.27 = 7,511.05 : x
  2. Step 2: Convert to fraction form
    10,297.45/15,432.27 = 7,511.05/x
  3. Step 3: Cross multiply
    10,297.45x = 15,432.27 × 7,511.05
  4. Step 4: Simplify right side
    10,297.45x = 115,912,551.58
  5. Step 5: Solve for x
    x = 115,912,551.58/10,297.45
  6. Step 6: Final answer
    x = 11,256.43

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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.