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Finding the Fourth Proportional to 12,092.90, 16,688.23 and 6,715.34

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Solution

The fourth proportional to 12,092.90, 16,688.23 and 6,715.34 is: 9,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.90 : 16,688.23 = 6,715.34 : x
  2. Step 2: Convert to fraction form
    12,092.90/16,688.23 = 6,715.34/x
  3. Step 3: Cross multiply
    12,092.90x = 16,688.23 × 6,715.34
  4. Step 4: Simplify right side
    12,092.90x = 112,067,138.45
  5. Step 5: Solve for x
    x = 112,067,138.45/12,092.90
  6. Step 6: Final answer
    x = 9,267.18

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