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Finding the Fourth Proportional to 10,319.59, 14,227.41 and 8,407.99

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Solution

The fourth proportional to 10,319.59, 14,227.41 and 8,407.99 is: 11,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.59 : 14,227.41 = 8,407.99 : x
  2. Step 2: Convert to fraction form
    10,319.59/14,227.41 = 8,407.99/x
  3. Step 3: Cross multiply
    10,319.59x = 14,227.41 × 8,407.99
  4. Step 4: Simplify right side
    10,319.59x = 119,623,921.01
  5. Step 5: Solve for x
    x = 119,623,921.01/10,319.59
  6. Step 6: Final answer
    x = 11,591.93

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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.