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Finding the Fourth Proportional to 10,006.76, 13,809.26 and 5,530.77

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Solution

The fourth proportional to 10,006.76, 13,809.26 and 5,530.77 is: 7,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.76 : 13,809.26 = 5,530.77 : x
  2. Step 2: Convert to fraction form
    10,006.76/13,809.26 = 5,530.77/x
  3. Step 3: Cross multiply
    10,006.76x = 13,809.26 × 5,530.77
  4. Step 4: Simplify right side
    10,006.76x = 76,375,840.93
  5. Step 5: Solve for x
    x = 76,375,840.93/10,006.76
  6. Step 6: Final answer
    x = 7,632.42

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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.