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Finding the Fourth Proportional to 10,054.94, 15,080.63 and 2,659.50

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Solution

The fourth proportional to 10,054.94, 15,080.63 and 2,659.50 is: 3,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.94 : 15,080.63 = 2,659.50 : x
  2. Step 2: Convert to fraction form
    10,054.94/15,080.63 = 2,659.50/x
  3. Step 3: Cross multiply
    10,054.94x = 15,080.63 × 2,659.50
  4. Step 4: Simplify right side
    10,054.94x = 40,106,922.19
  5. Step 5: Solve for x
    x = 40,106,922.19/10,054.94
  6. Step 6: Final answer
    x = 3,988.78

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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.