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Finding the Fourth Proportional to 10,039.76, 15,059.50 and 3,114.26

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Solution

The fourth proportional to 10,039.76, 15,059.50 and 3,114.26 is: 4,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.76 : 15,059.50 = 3,114.26 : x
  2. Step 2: Convert to fraction form
    10,039.76/15,059.50 = 3,114.26/x
  3. Step 3: Cross multiply
    10,039.76x = 15,059.50 × 3,114.26
  4. Step 4: Simplify right side
    10,039.76x = 46,899,198.47
  5. Step 5: Solve for x
    x = 46,899,198.47/10,039.76
  6. Step 6: Final answer
    x = 4,671.35

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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.