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Finding the Fourth Proportional to 10,635.96, 14,677 and 6,159.40

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Solution

The fourth proportional to 10,635.96, 14,677 and 6,159.40 is: 8,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.96 : 14,677 = 6,159.40 : x
  2. Step 2: Convert to fraction form
    10,635.96/14,677 = 6,159.40/x
  3. Step 3: Cross multiply
    10,635.96x = 14,677 × 6,159.40
  4. Step 4: Simplify right side
    10,635.96x = 90,401,513.80
  5. Step 5: Solve for x
    x = 90,401,513.80/10,635.96
  6. Step 6: Final answer
    x = 8,499.61

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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.