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Finding the Fourth Proportional to 11,536.29, 15,921 and 6,821.55

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Solution

The fourth proportional to 11,536.29, 15,921 and 6,821.55 is: 9,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.29 : 15,921 = 6,821.55 : x
  2. Step 2: Convert to fraction form
    11,536.29/15,921 = 6,821.55/x
  3. Step 3: Cross multiply
    11,536.29x = 15,921 × 6,821.55
  4. Step 4: Simplify right side
    11,536.29x = 108,605,897.55
  5. Step 5: Solve for x
    x = 108,605,897.55/11,536.29
  6. Step 6: Final answer
    x = 9,414.28

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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.