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Finding the Fourth Proportional to 11,006.82, 15,192.77 and 8,784

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Solution

The fourth proportional to 11,006.82, 15,192.77 and 8,784 is: 12,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.82 : 15,192.77 = 8,784 : x
  2. Step 2: Convert to fraction form
    11,006.82/15,192.77 = 8,784/x
  3. Step 3: Cross multiply
    11,006.82x = 15,192.77 × 8,784
  4. Step 4: Simplify right side
    11,006.82x = 133,453,247.76
  5. Step 5: Solve for x
    x = 133,453,247.76/11,006.82
  6. Step 6: Final answer
    x = 12,124.60

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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.