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Finding the Fourth Proportional to 10,683.57, 14,740.80 and 6,204.66

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Solution

The fourth proportional to 10,683.57, 14,740.80 and 6,204.66 is: 8,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.57 : 14,740.80 = 6,204.66 : x
  2. Step 2: Convert to fraction form
    10,683.57/14,740.80 = 6,204.66/x
  3. Step 3: Cross multiply
    10,683.57x = 14,740.80 × 6,204.66
  4. Step 4: Simplify right side
    10,683.57x = 91,461,652.13
  5. Step 5: Solve for x
    x = 91,461,652.13/10,683.57
  6. Step 6: Final answer
    x = 8,560.97

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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.