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Finding the Fourth Proportional to 10,409.99, 14,366.68 and 6,376.80

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Solution

The fourth proportional to 10,409.99, 14,366.68 and 6,376.80 is: 8,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.99 : 14,366.68 = 6,376.80 : x
  2. Step 2: Convert to fraction form
    10,409.99/14,366.68 = 6,376.80/x
  3. Step 3: Cross multiply
    10,409.99x = 14,366.68 × 6,376.80
  4. Step 4: Simplify right side
    10,409.99x = 91,613,445.02
  5. Step 5: Solve for x
    x = 91,613,445.02/10,409.99
  6. Step 6: Final answer
    x = 8,800.53

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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.