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Finding the Fourth Proportional to 13,071.92, 18,037.50 and 7,764.80

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Solution

The fourth proportional to 13,071.92, 18,037.50 and 7,764.80 is: 10,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.92 : 18,037.50 = 7,764.80 : x
  2. Step 2: Convert to fraction form
    13,071.92/18,037.50 = 7,764.80/x
  3. Step 3: Cross multiply
    13,071.92x = 18,037.50 × 7,764.80
  4. Step 4: Simplify right side
    13,071.92x = 140,057,580
  5. Step 5: Solve for x
    x = 140,057,580/13,071.92
  6. Step 6: Final answer
    x = 10,714.38

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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.