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Finding the Fourth Proportional to 10,161.75, 15,226.89 and 7,047.81

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Solution

The fourth proportional to 10,161.75, 15,226.89 and 7,047.81 is: 10,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.75 : 15,226.89 = 7,047.81 : x
  2. Step 2: Convert to fraction form
    10,161.75/15,226.89 = 7,047.81/x
  3. Step 3: Cross multiply
    10,161.75x = 15,226.89 × 7,047.81
  4. Step 4: Simplify right side
    10,161.75x = 107,316,201.18
  5. Step 5: Solve for x
    x = 107,316,201.18/10,161.75
  6. Step 6: Final answer
    x = 10,560.80

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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.