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Finding the Fourth Proportional to 10,038.26, 15,057.26 and 3,112.76

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Solution

The fourth proportional to 10,038.26, 15,057.26 and 3,112.76 is: 4,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.26 : 15,057.26 = 3,112.76 : x
  2. Step 2: Convert to fraction form
    10,038.26/15,057.26 = 3,112.76/x
  3. Step 3: Cross multiply
    10,038.26x = 15,057.26 × 3,112.76
  4. Step 4: Simplify right side
    10,038.26x = 46,869,621.07
  5. Step 5: Solve for x
    x = 46,869,621.07/10,038.26
  6. Step 6: Final answer
    x = 4,669.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.