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Finding the Fourth Proportional to 7,995.32, 11,027.34 and 7,100

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Solution

The fourth proportional to 7,995.32, 11,027.34 and 7,100 is: 9,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,995.32 : 11,027.34 = 7,100 : x
  2. Step 2: Convert to fraction form
    7,995.32/11,027.34 = 7,100/x
  3. Step 3: Cross multiply
    7,995.32x = 11,027.34 × 7,100
  4. Step 4: Simplify right side
    7,995.32x = 78,294,114
  5. Step 5: Solve for x
    x = 78,294,114/7,995.32
  6. Step 6: Final answer
    x = 9,792.49

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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.