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Finding the Fourth Proportional to 8,264.34, 11,399.63 and 5,431.86

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Solution

The fourth proportional to 8,264.34, 11,399.63 and 5,431.86 is: 7,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.34 : 11,399.63 = 5,431.86 : x
  2. Step 2: Convert to fraction form
    8,264.34/11,399.63 = 5,431.86/x
  3. Step 3: Cross multiply
    8,264.34x = 11,399.63 × 5,431.86
  4. Step 4: Simplify right side
    8,264.34x = 61,921,167.05
  5. Step 5: Solve for x
    x = 61,921,167.05/8,264.34
  6. Step 6: Final answer
    x = 7,492.57

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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.