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Finding the Fourth Proportional to 10,727.81, 14,806.10 and 6,254.18

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Solution

The fourth proportional to 10,727.81, 14,806.10 and 6,254.18 is: 8,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.81 : 14,806.10 = 6,254.18 : x
  2. Step 2: Convert to fraction form
    10,727.81/14,806.10 = 6,254.18/x
  3. Step 3: Cross multiply
    10,727.81x = 14,806.10 × 6,254.18
  4. Step 4: Simplify right side
    10,727.81x = 92,600,014.50
  5. Step 5: Solve for x
    x = 92,600,014.50/10,727.81
  6. Step 6: Final answer
    x = 8,631.77

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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.