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Finding the Fourth Proportional to 12,091.17, 18,135.29 and 7,662.50

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Solution

The fourth proportional to 12,091.17, 18,135.29 and 7,662.50 is: 11,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.17 : 18,135.29 = 7,662.50 : x
  2. Step 2: Convert to fraction form
    12,091.17/18,135.29 = 7,662.50/x
  3. Step 3: Cross multiply
    12,091.17x = 18,135.29 × 7,662.50
  4. Step 4: Simplify right side
    12,091.17x = 138,961,656.11
  5. Step 5: Solve for x
    x = 138,961,656.11/12,091.17
  6. Step 6: Final answer
    x = 11,492.82

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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.