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Finding the Fourth Proportional to 12,382.94, 17,088.49 and 7,077.75

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Solution

The fourth proportional to 12,382.94, 17,088.49 and 7,077.75 is: 9,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.94 : 17,088.49 = 7,077.75 : x
  2. Step 2: Convert to fraction form
    12,382.94/17,088.49 = 7,077.75/x
  3. Step 3: Cross multiply
    12,382.94x = 17,088.49 × 7,077.75
  4. Step 4: Simplify right side
    12,382.94x = 120,948,060.10
  5. Step 5: Solve for x
    x = 120,948,060.10/12,382.94
  6. Step 6: Final answer
    x = 9,767.31

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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.