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Finding the Fourth Proportional to 11,570.53, 15,967.33 and 6,265.34

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Solution

The fourth proportional to 11,570.53, 15,967.33 and 6,265.34 is: 8,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.53 : 15,967.33 = 6,265.34 : x
  2. Step 2: Convert to fraction form
    11,570.53/15,967.33 = 6,265.34/x
  3. Step 3: Cross multiply
    11,570.53x = 15,967.33 × 6,265.34
  4. Step 4: Simplify right side
    11,570.53x = 100,040,759.93
  5. Step 5: Solve for x
    x = 100,040,759.93/11,570.53
  6. Step 6: Final answer
    x = 8,646.17

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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.