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Finding the Fourth Proportional to 7,938.86, 10,954.05 and 4,795.22

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Solution

The fourth proportional to 7,938.86, 10,954.05 and 4,795.22 is: 6,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.86 : 10,954.05 = 4,795.22 : x
  2. Step 2: Convert to fraction form
    7,938.86/10,954.05 = 4,795.22/x
  3. Step 3: Cross multiply
    7,938.86x = 10,954.05 × 4,795.22
  4. Step 4: Simplify right side
    7,938.86x = 52,527,079.64
  5. Step 5: Solve for x
    x = 52,527,079.64/7,938.86
  6. Step 6: Final answer
    x = 6,616.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.