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Finding the Fourth Proportional to 7,357.83, 10,166.49 and 6,472.11

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Solution

The fourth proportional to 7,357.83, 10,166.49 and 6,472.11 is: 8,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.83 : 10,166.49 = 6,472.11 : x
  2. Step 2: Convert to fraction form
    7,357.83/10,166.49 = 6,472.11/x
  3. Step 3: Cross multiply
    7,357.83x = 10,166.49 × 6,472.11
  4. Step 4: Simplify right side
    7,357.83x = 65,798,641.59
  5. Step 5: Solve for x
    x = 65,798,641.59/7,357.83
  6. Step 6: Final answer
    x = 8,942.67

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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.