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Finding the Fourth Proportional to 10,537.46, 15,806.13 and 4,297.44

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Solution

The fourth proportional to 10,537.46, 15,806.13 and 4,297.44 is: 6,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.46 : 15,806.13 = 4,297.44 : x
  2. Step 2: Convert to fraction form
    10,537.46/15,806.13 = 4,297.44/x
  3. Step 3: Cross multiply
    10,537.46x = 15,806.13 × 4,297.44
  4. Step 4: Simplify right side
    10,537.46x = 67,925,895.31
  5. Step 5: Solve for x
    x = 67,925,895.31/10,537.46
  6. Step 6: Final answer
    x = 6,446.14

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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.