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Finding the Fourth Proportional to 13,095.75, 18,078.33 and 8,382.77

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Solution

The fourth proportional to 13,095.75, 18,078.33 and 8,382.77 is: 11,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.75 : 18,078.33 = 8,382.77 : x
  2. Step 2: Convert to fraction form
    13,095.75/18,078.33 = 8,382.77/x
  3. Step 3: Cross multiply
    13,095.75x = 18,078.33 × 8,382.77
  4. Step 4: Simplify right side
    13,095.75x = 151,546,482.37
  5. Step 5: Solve for x
    x = 151,546,482.37/13,095.75
  6. Step 6: Final answer
    x = 11,572.19

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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.