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Finding the Fourth Proportional to 7,202.86, 10,806.05 and 3,040.63

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Solution

The fourth proportional to 7,202.86, 10,806.05 and 3,040.63 is: 4,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.86 : 10,806.05 = 3,040.63 : x
  2. Step 2: Convert to fraction form
    7,202.86/10,806.05 = 3,040.63/x
  3. Step 3: Cross multiply
    7,202.86x = 10,806.05 × 3,040.63
  4. Step 4: Simplify right side
    7,202.86x = 32,857,199.81
  5. Step 5: Solve for x
    x = 32,857,199.81/7,202.86
  6. Step 6: Final answer
    x = 4,561.69

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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.