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Finding the Fourth Proportional to 11,360.32, 15,676.16 and 8,377.80

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Solution

The fourth proportional to 11,360.32, 15,676.16 and 8,377.80 is: 11,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360.32 : 15,676.16 = 8,377.80 : x
  2. Step 2: Convert to fraction form
    11,360.32/15,676.16 = 8,377.80/x
  3. Step 3: Cross multiply
    11,360.32x = 15,676.16 × 8,377.80
  4. Step 4: Simplify right side
    11,360.32x = 131,331,733.25
  5. Step 5: Solve for x
    x = 131,331,733.25/11,360.32
  6. Step 6: Final answer
    x = 11,560.57

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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.