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Finding the Fourth Proportional to 10,137.51, 15,207.17 and 3,563.75

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Solution

The fourth proportional to 10,137.51, 15,207.17 and 3,563.75 is: 5,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.51 : 15,207.17 = 3,563.75 : x
  2. Step 2: Convert to fraction form
    10,137.51/15,207.17 = 3,563.75/x
  3. Step 3: Cross multiply
    10,137.51x = 15,207.17 × 3,563.75
  4. Step 4: Simplify right side
    10,137.51x = 54,194,552.09
  5. Step 5: Solve for x
    x = 54,194,552.09/10,137.51
  6. Step 6: Final answer
    x = 5,345.94

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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.