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Finding the Fourth Proportional to 7,938, 10,956.87 and 5,848.20

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Solution

The fourth proportional to 7,938, 10,956.87 and 5,848.20 is: 8,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 10,956.87 = 5,848.20 : x
  2. Step 2: Convert to fraction form
    7,938/10,956.87 = 5,848.20/x
  3. Step 3: Cross multiply
    7,938x = 10,956.87 × 5,848.20
  4. Step 4: Simplify right side
    7,938x = 64,077,967.13
  5. Step 5: Solve for x
    x = 64,077,967.13/7,938
  6. Step 6: Final answer
    x = 8,072.31

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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.