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Finding the Fourth Proportional to 11,709.95, 17,552.57 and 8,011.17

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Solution

The fourth proportional to 11,709.95, 17,552.57 and 8,011.17 is: 12,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.95 : 17,552.57 = 8,011.17 : x
  2. Step 2: Convert to fraction form
    11,709.95/17,552.57 = 8,011.17/x
  3. Step 3: Cross multiply
    11,709.95x = 17,552.57 × 8,011.17
  4. Step 4: Simplify right side
    11,709.95x = 140,616,582.15
  5. Step 5: Solve for x
    x = 140,616,582.15/11,709.95
  6. Step 6: Final answer
    x = 12,008.30

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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.