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Finding the Fourth Proportional to 8,143.96, 12,192.10 and 7,365.76

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Solution

The fourth proportional to 8,143.96, 12,192.10 and 7,365.76 is: 11,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.96 : 12,192.10 = 7,365.76 : x
  2. Step 2: Convert to fraction form
    8,143.96/12,192.10 = 7,365.76/x
  3. Step 3: Cross multiply
    8,143.96x = 12,192.10 × 7,365.76
  4. Step 4: Simplify right side
    8,143.96x = 89,804,082.50
  5. Step 5: Solve for x
    x = 89,804,082.50/8,143.96
  6. Step 6: Final answer
    x = 11,027.08

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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.