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Finding the Fourth Proportional to 10,209.60, 15,301.60 and 5,529.60

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Solution

The fourth proportional to 10,209.60, 15,301.60 and 5,529.60 is: 8,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.60 : 15,301.60 = 5,529.60 : x
  2. Step 2: Convert to fraction form
    10,209.60/15,301.60 = 5,529.60/x
  3. Step 3: Cross multiply
    10,209.60x = 15,301.60 × 5,529.60
  4. Step 4: Simplify right side
    10,209.60x = 84,611,727.36
  5. Step 5: Solve for x
    x = 84,611,727.36/10,209.60
  6. Step 6: Final answer
    x = 8,287.47

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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.