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Finding the Fourth Proportional to 7,722, 10,656.32 and 4,365.92

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Solution

The fourth proportional to 7,722, 10,656.32 and 4,365.92 is: 6,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 10,656.32 = 4,365.92 : x
  2. Step 2: Convert to fraction form
    7,722/10,656.32 = 4,365.92/x
  3. Step 3: Cross multiply
    7,722x = 10,656.32 × 4,365.92
  4. Step 4: Simplify right side
    7,722x = 46,524,640.61
  5. Step 5: Solve for x
    x = 46,524,640.61/7,722
  6. Step 6: Final answer
    x = 6,024.95

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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.