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Finding the Fourth Proportional to 7,830.67, 10,806.83 and 5,173.42

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Solution

The fourth proportional to 7,830.67, 10,806.83 and 5,173.42 is: 7,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.67 : 10,806.83 = 5,173.42 : x
  2. Step 2: Convert to fraction form
    7,830.67/10,806.83 = 5,173.42/x
  3. Step 3: Cross multiply
    7,830.67x = 10,806.83 × 5,173.42
  4. Step 4: Simplify right side
    7,830.67x = 55,908,270.46
  5. Step 5: Solve for x
    x = 55,908,270.46/7,830.67
  6. Step 6: Final answer
    x = 7,139.65

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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.