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Finding the Fourth Proportional to 11,298.34, 15,593.07 and 6,581.71

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Solution

The fourth proportional to 11,298.34, 15,593.07 and 6,581.71 is: 9,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.34 : 15,593.07 = 6,581.71 : x
  2. Step 2: Convert to fraction form
    11,298.34/15,593.07 = 6,581.71/x
  3. Step 3: Cross multiply
    11,298.34x = 15,593.07 × 6,581.71
  4. Step 4: Simplify right side
    11,298.34x = 102,629,064.75
  5. Step 5: Solve for x
    x = 102,629,064.75/11,298.34
  6. Step 6: Final answer
    x = 9,083.55

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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.