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Finding the Fourth Proportional to 11,513.30, 15,888.42 and 6,799.90

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Solution

The fourth proportional to 11,513.30, 15,888.42 and 6,799.90 is: 9,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.30 : 15,888.42 = 6,799.90 : x
  2. Step 2: Convert to fraction form
    11,513.30/15,888.42 = 6,799.90/x
  3. Step 3: Cross multiply
    11,513.30x = 15,888.42 × 6,799.90
  4. Step 4: Simplify right side
    11,513.30x = 108,039,667.16
  5. Step 5: Solve for x
    x = 108,039,667.16/11,513.30
  6. Step 6: Final answer
    x = 9,383.90

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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.