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Finding the Fourth Proportional to 6,607.82, 9,115.80 and 5,283.38

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Solution

The fourth proportional to 6,607.82, 9,115.80 and 5,283.38 is: 7,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.82 : 9,115.80 = 5,283.38 : x
  2. Step 2: Convert to fraction form
    6,607.82/9,115.80 = 5,283.38/x
  3. Step 3: Cross multiply
    6,607.82x = 9,115.80 × 5,283.38
  4. Step 4: Simplify right side
    6,607.82x = 48,162,235.40
  5. Step 5: Solve for x
    x = 48,162,235.40/6,607.82
  6. Step 6: Final answer
    x = 7,288.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.