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Finding the Fourth Proportional to 11,165.63, 15,408.56 and 6,197.63

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Solution

The fourth proportional to 11,165.63, 15,408.56 and 6,197.63 is: 8,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.63 : 15,408.56 = 6,197.63 : x
  2. Step 2: Convert to fraction form
    11,165.63/15,408.56 = 6,197.63/x
  3. Step 3: Cross multiply
    11,165.63x = 15,408.56 × 6,197.63
  4. Step 4: Simplify right side
    11,165.63x = 95,496,492.16
  5. Step 5: Solve for x
    x = 95,496,492.16/11,165.63
  6. Step 6: Final answer
    x = 8,552.72

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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.