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Finding the Fourth Proportional to 8,848.18, 12,205.92 and 6,189.76

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Solution

The fourth proportional to 8,848.18, 12,205.92 and 6,189.76 is: 8,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,848.18 : 12,205.92 = 6,189.76 : x
  2. Step 2: Convert to fraction form
    8,848.18/12,205.92 = 6,189.76/x
  3. Step 3: Cross multiply
    8,848.18x = 12,205.92 × 6,189.76
  4. Step 4: Simplify right side
    8,848.18x = 75,551,715.38
  5. Step 5: Solve for x
    x = 75,551,715.38/8,848.18
  6. Step 6: Final answer
    x = 8,538.67

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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.