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Finding the Fourth Proportional to 7,768.32, 10,647.98 and 7,658.96

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Solution

The fourth proportional to 7,768.32, 10,647.98 and 7,658.96 is: 10,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.32 : 10,647.98 = 7,658.96 : x
  2. Step 2: Convert to fraction form
    7,768.32/10,647.98 = 7,658.96/x
  3. Step 3: Cross multiply
    7,768.32x = 10,647.98 × 7,658.96
  4. Step 4: Simplify right side
    7,768.32x = 81,552,452.90
  5. Step 5: Solve for x
    x = 81,552,452.90/7,768.32
  6. Step 6: Final answer
    x = 10,498.08

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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.