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Finding the Fourth Proportional to 10,309.50, 14,230.80 and 6,117.75

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Solution

The fourth proportional to 10,309.50, 14,230.80 and 6,117.75 is: 8,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.50 : 14,230.80 = 6,117.75 : x
  2. Step 2: Convert to fraction form
    10,309.50/14,230.80 = 6,117.75/x
  3. Step 3: Cross multiply
    10,309.50x = 14,230.80 × 6,117.75
  4. Step 4: Simplify right side
    10,309.50x = 87,060,476.70
  5. Step 5: Solve for x
    x = 87,060,476.70/10,309.50
  6. Step 6: Final answer
    x = 8,444.68

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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.