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Finding the Fourth Proportional to 7,122.65, 9,830.54 and 4,251.56

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Solution

The fourth proportional to 7,122.65, 9,830.54 and 4,251.56 is: 5,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.65 : 9,830.54 = 4,251.56 : x
  2. Step 2: Convert to fraction form
    7,122.65/9,830.54 = 4,251.56/x
  3. Step 3: Cross multiply
    7,122.65x = 9,830.54 × 4,251.56
  4. Step 4: Simplify right side
    7,122.65x = 41,795,130.64
  5. Step 5: Solve for x
    x = 41,795,130.64/7,122.65
  6. Step 6: Final answer
    x = 5,867.92

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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.