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Finding the Fourth Proportional to 7,970.78, 10,999.38 and 4,433.92

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Solution

The fourth proportional to 7,970.78, 10,999.38 and 4,433.92 is: 6,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.78 : 10,999.38 = 4,433.92 : x
  2. Step 2: Convert to fraction form
    7,970.78/10,999.38 = 4,433.92/x
  3. Step 3: Cross multiply
    7,970.78x = 10,999.38 × 4,433.92
  4. Step 4: Simplify right side
    7,970.78x = 48,770,360.10
  5. Step 5: Solve for x
    x = 48,770,360.10/7,970.78
  6. Step 6: Final answer
    x = 6,118.64

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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.