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Finding the Fourth Proportional to 11,558.68, 15,952.16 and 7,085.41

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Solution

The fourth proportional to 11,558.68, 15,952.16 and 7,085.41 is: 9,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.68 : 15,952.16 = 7,085.41 : x
  2. Step 2: Convert to fraction form
    11,558.68/15,952.16 = 7,085.41/x
  3. Step 3: Cross multiply
    11,558.68x = 15,952.16 × 7,085.41
  4. Step 4: Simplify right side
    11,558.68x = 113,027,593.99
  5. Step 5: Solve for x
    x = 113,027,593.99/11,558.68
  6. Step 6: Final answer
    x = 9,778.59

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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.