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Finding the Fourth Proportional to 7,717.66, 10,650.35 and 4,180.93

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Solution

The fourth proportional to 7,717.66, 10,650.35 and 4,180.93 is: 5,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.66 : 10,650.35 = 4,180.93 : x
  2. Step 2: Convert to fraction form
    7,717.66/10,650.35 = 4,180.93/x
  3. Step 3: Cross multiply
    7,717.66x = 10,650.35 × 4,180.93
  4. Step 4: Simplify right side
    7,717.66x = 44,528,293.67
  5. Step 5: Solve for x
    x = 44,528,293.67/7,717.66
  6. Step 6: Final answer
    x = 5,769.67

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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.