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Finding the Fourth Proportional to 11,570.49, 15,967.28 and 6,265.31

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Solution

The fourth proportional to 11,570.49, 15,967.28 and 6,265.31 is: 8,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.49 : 15,967.28 = 6,265.31 : x
  2. Step 2: Convert to fraction form
    11,570.49/15,967.28 = 6,265.31/x
  3. Step 3: Cross multiply
    11,570.49x = 15,967.28 × 6,265.31
  4. Step 4: Simplify right side
    11,570.49x = 100,039,894.88
  5. Step 5: Solve for x
    x = 100,039,894.88/11,570.49
  6. Step 6: Final answer
    x = 8,646.12

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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.