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Finding the Fourth Proportional to 10,026, 15,039.36 and 3,100.32

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Solution

The fourth proportional to 10,026, 15,039.36 and 3,100.32 is: 4,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 15,039.36 = 3,100.32 : x
  2. Step 2: Convert to fraction form
    10,026/15,039.36 = 3,100.32/x
  3. Step 3: Cross multiply
    10,026x = 15,039.36 × 3,100.32
  4. Step 4: Simplify right side
    10,026x = 46,626,828.60
  5. Step 5: Solve for x
    x = 46,626,828.60/10,026
  6. Step 6: Final answer
    x = 4,650.59

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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.