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Finding the Fourth Proportional to 7,969.98, 10,998.06 and 4,433.10

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Solution

The fourth proportional to 7,969.98, 10,998.06 and 4,433.10 is: 6,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.98 : 10,998.06 = 4,433.10 : x
  2. Step 2: Convert to fraction form
    7,969.98/10,998.06 = 4,433.10/x
  3. Step 3: Cross multiply
    7,969.98x = 10,998.06 × 4,433.10
  4. Step 4: Simplify right side
    7,969.98x = 48,755,499.79
  5. Step 5: Solve for x
    x = 48,755,499.79/7,969.98
  6. Step 6: Final answer
    x = 6,117.39

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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.