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Finding the Fourth Proportional to 10,093.59, 13,922.66 and 6,513.12

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Solution

The fourth proportional to 10,093.59, 13,922.66 and 6,513.12 is: 8,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.59 : 13,922.66 = 6,513.12 : x
  2. Step 2: Convert to fraction form
    10,093.59/13,922.66 = 6,513.12/x
  3. Step 3: Cross multiply
    10,093.59x = 13,922.66 × 6,513.12
  4. Step 4: Simplify right side
    10,093.59x = 90,679,922.73
  5. Step 5: Solve for x
    x = 90,679,922.73/10,093.59
  6. Step 6: Final answer
    x = 8,983.91

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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.