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Finding the Fourth Proportional to 7,708.95, 10,638.34 and 4,172.16

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Solution

The fourth proportional to 7,708.95, 10,638.34 and 4,172.16 is: 5,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.95 : 10,638.34 = 4,172.16 : x
  2. Step 2: Convert to fraction form
    7,708.95/10,638.34 = 4,172.16/x
  3. Step 3: Cross multiply
    7,708.95x = 10,638.34 × 4,172.16
  4. Step 4: Simplify right side
    7,708.95x = 44,384,856.61
  5. Step 5: Solve for x
    x = 44,384,856.61/7,708.95
  6. Step 6: Final answer
    x = 5,757.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.