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Finding the Fourth Proportional to 10,006.56, 13,810.32 and 5,814

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Solution

The fourth proportional to 10,006.56, 13,810.32 and 5,814 is: 8,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.56 : 13,810.32 = 5,814 : x
  2. Step 2: Convert to fraction form
    10,006.56/13,810.32 = 5,814/x
  3. Step 3: Cross multiply
    10,006.56x = 13,810.32 × 5,814
  4. Step 4: Simplify right side
    10,006.56x = 80,293,200.48
  5. Step 5: Solve for x
    x = 80,293,200.48/10,006.56
  6. Step 6: Final answer
    x = 8,024.06

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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.