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Finding the Fourth Proportional to 10,006.92, 13,809.12 and 5,530.44

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Solution

The fourth proportional to 10,006.92, 13,809.12 and 5,530.44 is: 7,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.92 : 13,809.12 = 5,530.44 : x
  2. Step 2: Convert to fraction form
    10,006.92/13,809.12 = 5,530.44/x
  3. Step 3: Cross multiply
    10,006.92x = 13,809.12 × 5,530.44
  4. Step 4: Simplify right side
    10,006.92x = 76,370,509.61
  5. Step 5: Solve for x
    x = 76,370,509.61/10,006.92
  6. Step 6: Final answer
    x = 7,631.77

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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.