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Finding the Fourth Proportional to 11,570.51, 15,967.31 and 6,265.33

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Solution

The fourth proportional to 11,570.51, 15,967.31 and 6,265.33 is: 8,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.51 : 15,967.31 = 6,265.33 : x
  2. Step 2: Convert to fraction form
    11,570.51/15,967.31 = 6,265.33/x
  3. Step 3: Cross multiply
    11,570.51x = 15,967.31 × 6,265.33
  4. Step 4: Simplify right side
    11,570.51x = 100,040,355.20
  5. Step 5: Solve for x
    x = 100,040,355.20/11,570.51
  6. Step 6: Final answer
    x = 8,646.15

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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.