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Finding the Fourth Proportional to 10,409.63, 14,365.28 and 5,693.91

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Solution

The fourth proportional to 10,409.63, 14,365.28 and 5,693.91 is: 7,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.63 : 14,365.28 = 5,693.91 : x
  2. Step 2: Convert to fraction form
    10,409.63/14,365.28 = 5,693.91/x
  3. Step 3: Cross multiply
    10,409.63x = 14,365.28 × 5,693.91
  4. Step 4: Simplify right side
    10,409.63x = 81,794,571.81
  5. Step 5: Solve for x
    x = 81,794,571.81/10,409.63
  6. Step 6: Final answer
    x = 7,857.59

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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.