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Finding the Fourth Proportional to 10,006.57, 13,809.22 and 5,530.43

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Solution

The fourth proportional to 10,006.57, 13,809.22 and 5,530.43 is: 7,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.57 : 13,809.22 = 5,530.43 : x
  2. Step 2: Convert to fraction form
    10,006.57/13,809.22 = 5,530.43/x
  3. Step 3: Cross multiply
    10,006.57x = 13,809.22 × 5,530.43
  4. Step 4: Simplify right side
    10,006.57x = 76,370,827.87
  5. Step 5: Solve for x
    x = 76,370,827.87/10,006.57
  6. Step 6: Final answer
    x = 7,632.07

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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.