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Finding the Fourth Proportional to 7,717.90, 10,650.06 and 4,361

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Solution

The fourth proportional to 7,717.90, 10,650.06 and 4,361 is: 6,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.90 : 10,650.06 = 4,361 : x
  2. Step 2: Convert to fraction form
    7,717.90/10,650.06 = 4,361/x
  3. Step 3: Cross multiply
    7,717.90x = 10,650.06 × 4,361
  4. Step 4: Simplify right side
    7,717.90x = 46,444,922.56
  5. Step 5: Solve for x
    x = 46,444,922.56/7,717.90
  6. Step 6: Final answer
    x = 6,017.82

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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.