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Finding the Fourth Proportional to 6,966.33, 10,437.33 and 5,803.79

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Solution

The fourth proportional to 6,966.33, 10,437.33 and 5,803.79 is: 8,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.33 : 10,437.33 = 5,803.79 : x
  2. Step 2: Convert to fraction form
    6,966.33/10,437.33 = 5,803.79/x
  3. Step 3: Cross multiply
    6,966.33x = 10,437.33 × 5,803.79
  4. Step 4: Simplify right side
    6,966.33x = 60,576,019.29
  5. Step 5: Solve for x
    x = 60,576,019.29/6,966.33
  6. Step 6: Final answer
    x = 8,695.54

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Why These Related Problems?

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