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Finding the Fourth Proportional to 7,734.48, 10,679.13 and 4,754.31

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Solution

The fourth proportional to 7,734.48, 10,679.13 and 4,754.31 is: 6,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.48 : 10,679.13 = 4,754.31 : x
  2. Step 2: Convert to fraction form
    7,734.48/10,679.13 = 4,754.31/x
  3. Step 3: Cross multiply
    7,734.48x = 10,679.13 × 4,754.31
  4. Step 4: Simplify right side
    7,734.48x = 50,771,894.55
  5. Step 5: Solve for x
    x = 50,771,894.55/7,734.48
  6. Step 6: Final answer
    x = 6,564.36

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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.