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Finding the Fourth Proportional to 10,409.77, 14,368.49 and 5,935.96

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Solution

The fourth proportional to 10,409.77, 14,368.49 and 5,935.96 is: 8,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.77 : 14,368.49 = 5,935.96 : x
  2. Step 2: Convert to fraction form
    10,409.77/14,368.49 = 5,935.96/x
  3. Step 3: Cross multiply
    10,409.77x = 14,368.49 × 5,935.96
  4. Step 4: Simplify right side
    10,409.77x = 85,290,781.90
  5. Step 5: Solve for x
    x = 85,290,781.90/10,409.77
  6. Step 6: Final answer
    x = 8,193.34

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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.