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Finding the Fourth Proportional to 8,901.80, 13,352.70 and 4,965.20

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Solution

The fourth proportional to 8,901.80, 13,352.70 and 4,965.20 is: 7,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.80 : 13,352.70 = 4,965.20 : x
  2. Step 2: Convert to fraction form
    8,901.80/13,352.70 = 4,965.20/x
  3. Step 3: Cross multiply
    8,901.80x = 13,352.70 × 4,965.20
  4. Step 4: Simplify right side
    8,901.80x = 66,298,826.04
  5. Step 5: Solve for x
    x = 66,298,826.04/8,901.80
  6. Step 6: Final answer
    x = 7,447.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.