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Finding the Fourth Proportional to 7,765.72, 11,648.28 and 6,722.32

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Solution

The fourth proportional to 7,765.72, 11,648.28 and 6,722.32 is: 10,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.72 : 11,648.28 = 6,722.32 : x
  2. Step 2: Convert to fraction form
    7,765.72/11,648.28 = 6,722.32/x
  3. Step 3: Cross multiply
    7,765.72x = 11,648.28 × 6,722.32
  4. Step 4: Simplify right side
    7,765.72x = 78,303,465.61
  5. Step 5: Solve for x
    x = 78,303,465.61/7,765.72
  6. Step 6: Final answer
    x = 10,083.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.