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Finding the Fourth Proportional to 10,006.57, 13,808.10 and 5,529.59

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Solution

The fourth proportional to 10,006.57, 13,808.10 and 5,529.59 is: 7,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.57 : 13,808.10 = 5,529.59 : x
  2. Step 2: Convert to fraction form
    10,006.57/13,808.10 = 5,529.59/x
  3. Step 3: Cross multiply
    10,006.57x = 13,808.10 × 5,529.59
  4. Step 4: Simplify right side
    10,006.57x = 76,353,212.83
  5. Step 5: Solve for x
    x = 76,353,212.83/10,006.57
  6. Step 6: Final answer
    x = 7,630.31

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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.