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Finding the Fourth Proportional to 10,137, 15,213.36 and 7,038.78

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Solution

The fourth proportional to 10,137, 15,213.36 and 7,038.78 is: 10,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 15,213.36 = 7,038.78 : x
  2. Step 2: Convert to fraction form
    10,137/15,213.36 = 7,038.78/x
  3. Step 3: Cross multiply
    10,137x = 15,213.36 × 7,038.78
  4. Step 4: Simplify right side
    10,137x = 107,083,494.10
  5. Step 5: Solve for x
    x = 107,083,494.10/10,137
  6. Step 6: Final answer
    x = 10,563.63

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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.