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Finding the Fourth Proportional to 7,717.14, 10,644.93 and 4,917.78

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Solution

The fourth proportional to 7,717.14, 10,644.93 and 4,917.78 is: 6,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.14 : 10,644.93 = 4,917.78 : x
  2. Step 2: Convert to fraction form
    7,717.14/10,644.93 = 4,917.78/x
  3. Step 3: Cross multiply
    7,717.14x = 10,644.93 × 4,917.78
  4. Step 4: Simplify right side
    7,717.14x = 52,349,423.86
  5. Step 5: Solve for x
    x = 52,349,423.86/7,717.14
  6. Step 6: Final answer
    x = 6,783.53

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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.