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Finding the Fourth Proportional to 10,396.83, 14,347.31 and 5,921.22

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Solution

The fourth proportional to 10,396.83, 14,347.31 and 5,921.22 is: 8,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.83 : 14,347.31 = 5,921.22 : x
  2. Step 2: Convert to fraction form
    10,396.83/14,347.31 = 5,921.22/x
  3. Step 3: Cross multiply
    10,396.83x = 14,347.31 × 5,921.22
  4. Step 4: Simplify right side
    10,396.83x = 84,953,549.31
  5. Step 5: Solve for x
    x = 84,953,549.31/10,396.83
  6. Step 6: Final answer
    x = 8,171.10

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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.