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Finding the Fourth Proportional to 10,507.84, 15,760.80 and 6,122.56

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Solution

The fourth proportional to 10,507.84, 15,760.80 and 6,122.56 is: 9,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.84 : 15,760.80 = 6,122.56 : x
  2. Step 2: Convert to fraction form
    10,507.84/15,760.80 = 6,122.56/x
  3. Step 3: Cross multiply
    10,507.84x = 15,760.80 × 6,122.56
  4. Step 4: Simplify right side
    10,507.84x = 96,496,443.65
  5. Step 5: Solve for x
    x = 96,496,443.65/10,507.84
  6. Step 6: Final answer
    x = 9,183.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.