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Finding the Fourth Proportional to 7,806.59, 10,777.55 and 5,161.67

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Solution

The fourth proportional to 7,806.59, 10,777.55 and 5,161.67 is: 7,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.59 : 10,777.55 = 5,161.67 : x
  2. Step 2: Convert to fraction form
    7,806.59/10,777.55 = 5,161.67/x
  3. Step 3: Cross multiply
    7,806.59x = 10,777.55 × 5,161.67
  4. Step 4: Simplify right side
    7,806.59x = 55,630,076.81
  5. Step 5: Solve for x
    x = 55,630,076.81/7,806.59
  6. Step 6: Final answer
    x = 7,126.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.