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Finding the Fourth Proportional to 10,384.22, 14,330.32 and 5,668.22

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Solution

The fourth proportional to 10,384.22, 14,330.32 and 5,668.22 is: 7,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.22 : 14,330.32 = 5,668.22 : x
  2. Step 2: Convert to fraction form
    10,384.22/14,330.32 = 5,668.22/x
  3. Step 3: Cross multiply
    10,384.22x = 14,330.32 × 5,668.22
  4. Step 4: Simplify right side
    10,384.22x = 81,227,406.43
  5. Step 5: Solve for x
    x = 81,227,406.43/10,384.22
  6. Step 6: Final answer
    x = 7,822.20

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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.