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Finding the Fourth Proportional to 10,383.86, 14,329.77 and 5,668.22

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Solution

The fourth proportional to 10,383.86, 14,329.77 and 5,668.22 is: 7,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.86 : 14,329.77 = 5,668.22 : x
  2. Step 2: Convert to fraction form
    10,383.86/14,329.77 = 5,668.22/x
  3. Step 3: Cross multiply
    10,383.86x = 14,329.77 × 5,668.22
  4. Step 4: Simplify right side
    10,383.86x = 81,224,303.48
  5. Step 5: Solve for x
    x = 81,224,303.48/10,383.86
  6. Step 6: Final answer
    x = 7,822.17

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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.