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Finding the Fourth Proportional to 10,409.68, 14,365.14 and 5,693.80

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Solution

The fourth proportional to 10,409.68, 14,365.14 and 5,693.80 is: 7,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.68 : 14,365.14 = 5,693.80 : x
  2. Step 2: Convert to fraction form
    10,409.68/14,365.14 = 5,693.80/x
  3. Step 3: Cross multiply
    10,409.68x = 14,365.14 × 5,693.80
  4. Step 4: Simplify right side
    10,409.68x = 81,792,234.13
  5. Step 5: Solve for x
    x = 81,792,234.13/10,409.68
  6. Step 6: Final answer
    x = 7,857.32

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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.