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Finding the Fourth Proportional to 11,580.95, 17,394.66 and 6,910.08

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Solution

The fourth proportional to 11,580.95, 17,394.66 and 6,910.08 is: 10,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.95 : 17,394.66 = 6,910.08 : x
  2. Step 2: Convert to fraction form
    11,580.95/17,394.66 = 6,910.08/x
  3. Step 3: Cross multiply
    11,580.95x = 17,394.66 × 6,910.08
  4. Step 4: Simplify right side
    11,580.95x = 120,198,492.17
  5. Step 5: Solve for x
    x = 120,198,492.17/11,580.95
  6. Step 6: Final answer
    x = 10,378.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.