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Finding the Fourth Proportional to 12,064.38, 16,645.23 and 7,808.70

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Solution

The fourth proportional to 12,064.38, 16,645.23 and 7,808.70 is: 10,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.38 : 16,645.23 = 7,808.70 : x
  2. Step 2: Convert to fraction form
    12,064.38/16,645.23 = 7,808.70/x
  3. Step 3: Cross multiply
    12,064.38x = 16,645.23 × 7,808.70
  4. Step 4: Simplify right side
    12,064.38x = 129,977,607.50
  5. Step 5: Solve for x
    x = 129,977,607.50/12,064.38
  6. Step 6: Final answer
    x = 10,773.67

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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.