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Finding the Fourth Proportional to 11,863.04, 16,373.75 and 6,830.15

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Solution

The fourth proportional to 11,863.04, 16,373.75 and 6,830.15 is: 9,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.04 : 16,373.75 = 6,830.15 : x
  2. Step 2: Convert to fraction form
    11,863.04/16,373.75 = 6,830.15/x
  3. Step 3: Cross multiply
    11,863.04x = 16,373.75 × 6,830.15
  4. Step 4: Simplify right side
    11,863.04x = 111,835,052.54
  5. Step 5: Solve for x
    x = 111,835,052.54/11,863.04
  6. Step 6: Final answer
    x = 9,427.19

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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.