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Finding the Fourth Proportional to 7,708.78, 10,638.12 and 4,172.00

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Solution

The fourth proportional to 7,708.78, 10,638.12 and 4,172.00 is: 5,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.78 : 10,638.12 = 4,172.00 : x
  2. Step 2: Convert to fraction form
    7,708.78/10,638.12 = 4,172.00/x
  3. Step 3: Cross multiply
    7,708.78x = 10,638.12 × 4,172.00
  4. Step 4: Simplify right side
    7,708.78x = 44,382,199.09
  5. Step 5: Solve for x
    x = 44,382,199.09/7,708.78
  6. Step 6: Final answer
    x = 5,757.36

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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.