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Finding the Fourth Proportional to 8,965.60, 13,448.28 and 4,031.76

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Solution

The fourth proportional to 8,965.60, 13,448.28 and 4,031.76 is: 6,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.60 : 13,448.28 = 4,031.76 : x
  2. Step 2: Convert to fraction form
    8,965.60/13,448.28 = 4,031.76/x
  3. Step 3: Cross multiply
    8,965.60x = 13,448.28 × 4,031.76
  4. Step 4: Simplify right side
    8,965.60x = 54,220,237.37
  5. Step 5: Solve for x
    x = 54,220,237.37/8,965.60
  6. Step 6: Final answer
    x = 6,047.59

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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.