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Finding the Fourth Proportional to 10,006.34, 13,807.67 and 5,529.87

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Solution

The fourth proportional to 10,006.34, 13,807.67 and 5,529.87 is: 7,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.34 : 13,807.67 = 5,529.87 : x
  2. Step 2: Convert to fraction form
    10,006.34/13,807.67 = 5,529.87/x
  3. Step 3: Cross multiply
    10,006.34x = 13,807.67 × 5,529.87
  4. Step 4: Simplify right side
    10,006.34x = 76,354,592.45
  5. Step 5: Solve for x
    x = 76,354,592.45/10,006.34
  6. Step 6: Final answer
    x = 7,630.63

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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.