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Finding the Fourth Proportional to 7,242.72, 10,864.94 and 2,561.77

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Solution

The fourth proportional to 7,242.72, 10,864.94 and 2,561.77 is: 3,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.72 : 10,864.94 = 2,561.77 : x
  2. Step 2: Convert to fraction form
    7,242.72/10,864.94 = 2,561.77/x
  3. Step 3: Cross multiply
    7,242.72x = 10,864.94 × 2,561.77
  4. Step 4: Simplify right side
    7,242.72x = 27,833,477.34
  5. Step 5: Solve for x
    x = 27,833,477.34/7,242.72
  6. Step 6: Final answer
    x = 3,842.96

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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.