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Finding the Fourth Proportional to 10,006.84, 13,806.12 and 6,026.44

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Solution

The fourth proportional to 10,006.84, 13,806.12 and 6,026.44 is: 8,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.84 : 13,806.12 = 6,026.44 : x
  2. Step 2: Convert to fraction form
    10,006.84/13,806.12 = 6,026.44/x
  3. Step 3: Cross multiply
    10,006.84x = 13,806.12 × 6,026.44
  4. Step 4: Simplify right side
    10,006.84x = 83,201,753.81
  5. Step 5: Solve for x
    x = 83,201,753.81/10,006.84
  6. Step 6: Final answer
    x = 8,314.49

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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.