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Finding the Fourth Proportional to 10,652.57, 15,971.29 and 4,073.21

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Solution

The fourth proportional to 10,652.57, 15,971.29 and 4,073.21 is: 6,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.57 : 15,971.29 = 4,073.21 : x
  2. Step 2: Convert to fraction form
    10,652.57/15,971.29 = 4,073.21/x
  3. Step 3: Cross multiply
    10,652.57x = 15,971.29 × 4,073.21
  4. Step 4: Simplify right side
    10,652.57x = 65,054,418.14
  5. Step 5: Solve for x
    x = 65,054,418.14/10,652.57
  6. Step 6: Final answer
    x = 6,106.92

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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.