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Finding the Fourth Proportional to 7,738.96, 10,638.70 and 6,658.28

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Solution

The fourth proportional to 7,738.96, 10,638.70 and 6,658.28 is: 9,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.96 : 10,638.70 = 6,658.28 : x
  2. Step 2: Convert to fraction form
    7,738.96/10,638.70 = 6,658.28/x
  3. Step 3: Cross multiply
    7,738.96x = 10,638.70 × 6,658.28
  4. Step 4: Simplify right side
    7,738.96x = 70,835,443.44
  5. Step 5: Solve for x
    x = 70,835,443.44/7,738.96
  6. Step 6: Final answer
    x = 9,153.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.