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Finding the Fourth Proportional to 11,494.56, 15,841.80 and 8,345.28

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Solution

The fourth proportional to 11,494.56, 15,841.80 and 8,345.28 is: 11,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.56 : 15,841.80 = 8,345.28 : x
  2. Step 2: Convert to fraction form
    11,494.56/15,841.80 = 8,345.28/x
  3. Step 3: Cross multiply
    11,494.56x = 15,841.80 × 8,345.28
  4. Step 4: Simplify right side
    11,494.56x = 132,204,256.70
  5. Step 5: Solve for x
    x = 132,204,256.70/11,494.56
  6. Step 6: Final answer
    x = 11,501.46

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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.