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Finding the Fourth Proportional to 10,113.59, 13,955.60 and 5,863.77

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Solution

The fourth proportional to 10,113.59, 13,955.60 and 5,863.77 is: 8,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.59 : 13,955.60 = 5,863.77 : x
  2. Step 2: Convert to fraction form
    10,113.59/13,955.60 = 5,863.77/x
  3. Step 3: Cross multiply
    10,113.59x = 13,955.60 × 5,863.77
  4. Step 4: Simplify right side
    10,113.59x = 81,832,443.27
  5. Step 5: Solve for x
    x = 81,832,443.27/10,113.59
  6. Step 6: Final answer
    x = 8,091.33

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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.