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Finding the Fourth Proportional to 10,645.46, 14,690.74 and 6,171.81

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Solution

The fourth proportional to 10,645.46, 14,690.74 and 6,171.81 is: 8,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.46 : 14,690.74 = 6,171.81 : x
  2. Step 2: Convert to fraction form
    10,645.46/14,690.74 = 6,171.81/x
  3. Step 3: Cross multiply
    10,645.46x = 14,690.74 × 6,171.81
  4. Step 4: Simplify right side
    10,645.46x = 90,668,463.75
  5. Step 5: Solve for x
    x = 90,668,463.75/10,645.46
  6. Step 6: Final answer
    x = 8,517.10

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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.