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Finding the Fourth Proportional to 10,025.68, 15,035.64 and 3,100.72

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Solution

The fourth proportional to 10,025.68, 15,035.64 and 3,100.72 is: 4,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.68 : 15,035.64 = 3,100.72 : x
  2. Step 2: Convert to fraction form
    10,025.68/15,035.64 = 3,100.72/x
  3. Step 3: Cross multiply
    10,025.68x = 15,035.64 × 3,100.72
  4. Step 4: Simplify right side
    10,025.68x = 46,621,309.66
  5. Step 5: Solve for x
    x = 46,621,309.66/10,025.68
  6. Step 6: Final answer
    x = 4,650.19

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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.