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Finding the Fourth Proportional to 10,006.72, 13,800.28 and 8,333.68

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Solution

The fourth proportional to 10,006.72, 13,800.28 and 8,333.68 is: 11,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.72 : 13,800.28 = 8,333.68 : x
  2. Step 2: Convert to fraction form
    10,006.72/13,800.28 = 8,333.68/x
  3. Step 3: Cross multiply
    10,006.72x = 13,800.28 × 8,333.68
  4. Step 4: Simplify right side
    10,006.72x = 115,007,117.43
  5. Step 5: Solve for x
    x = 115,007,117.43/10,006.72
  6. Step 6: Final answer
    x = 11,492.99

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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.