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Finding the Fourth Proportional to 7,717.13, 10,652.06 and 4,922.63

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Solution

The fourth proportional to 7,717.13, 10,652.06 and 4,922.63 is: 6,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.13 : 10,652.06 = 4,922.63 : x
  2. Step 2: Convert to fraction form
    7,717.13/10,652.06 = 4,922.63/x
  3. Step 3: Cross multiply
    7,717.13x = 10,652.06 × 4,922.63
  4. Step 4: Simplify right side
    7,717.13x = 52,436,109.16
  5. Step 5: Solve for x
    x = 52,436,109.16/7,717.13
  6. Step 6: Final answer
    x = 6,794.77

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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.