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Finding the Fourth Proportional to 7,242.84, 10,850.67 and 5,780.34

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Solution

The fourth proportional to 7,242.84, 10,850.67 and 5,780.34 is: 8,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.84 : 10,850.67 = 5,780.34 : x
  2. Step 2: Convert to fraction form
    7,242.84/10,850.67 = 5,780.34/x
  3. Step 3: Cross multiply
    7,242.84x = 10,850.67 × 5,780.34
  4. Step 4: Simplify right side
    7,242.84x = 62,720,561.83
  5. Step 5: Solve for x
    x = 62,720,561.83/7,242.84
  6. Step 6: Final answer
    x = 8,659.66

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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.