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Finding the Fourth Proportional to 10,054.60, 15,080.24 and 2,659.50

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Solution

The fourth proportional to 10,054.60, 15,080.24 and 2,659.50 is: 3,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.60 : 15,080.24 = 2,659.50 : x
  2. Step 2: Convert to fraction form
    10,054.60/15,080.24 = 2,659.50/x
  3. Step 3: Cross multiply
    10,054.60x = 15,080.24 × 2,659.50
  4. Step 4: Simplify right side
    10,054.60x = 40,105,898.28
  5. Step 5: Solve for x
    x = 40,105,898.28/10,054.60
  6. Step 6: Final answer
    x = 3,988.81

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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.