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Finding the Fourth Proportional to 10,297.95, 15,433.02 and 7,511.55

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Solution

The fourth proportional to 10,297.95, 15,433.02 and 7,511.55 is: 11,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.95 : 15,433.02 = 7,511.55 : x
  2. Step 2: Convert to fraction form
    10,297.95/15,433.02 = 7,511.55/x
  3. Step 3: Cross multiply
    10,297.95x = 15,433.02 × 7,511.55
  4. Step 4: Simplify right side
    10,297.95x = 115,925,901.38
  5. Step 5: Solve for x
    x = 115,925,901.38/10,297.95
  6. Step 6: Final answer
    x = 11,257.18

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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.