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Finding the Fourth Proportional to 10,041.60, 15,064.80 and 4,843.20

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Solution

The fourth proportional to 10,041.60, 15,064.80 and 4,843.20 is: 7,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.60 : 15,064.80 = 4,843.20 : x
  2. Step 2: Convert to fraction form
    10,041.60/15,064.80 = 4,843.20/x
  3. Step 3: Cross multiply
    10,041.60x = 15,064.80 × 4,843.20
  4. Step 4: Simplify right side
    10,041.60x = 72,961,839.36
  5. Step 5: Solve for x
    x = 72,961,839.36/10,041.60
  6. Step 6: Final answer
    x = 7,265.96

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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.