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Finding the Fourth Proportional to 10,416.76, 14,372.19 and 6,165.95

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Solution

The fourth proportional to 10,416.76, 14,372.19 and 6,165.95 is: 8,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.76 : 14,372.19 = 6,165.95 : x
  2. Step 2: Convert to fraction form
    10,416.76/14,372.19 = 6,165.95/x
  3. Step 3: Cross multiply
    10,416.76x = 14,372.19 × 6,165.95
  4. Step 4: Simplify right side
    10,416.76x = 88,618,204.93
  5. Step 5: Solve for x
    x = 88,618,204.93/10,416.76
  6. Step 6: Final answer
    x = 8,507.27

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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.