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Finding the Fourth Proportional to 10,403.34, 14,356.11 and 5,927.22

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Solution

The fourth proportional to 10,403.34, 14,356.11 and 5,927.22 is: 8,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.34 : 14,356.11 = 5,927.22 : x
  2. Step 2: Convert to fraction form
    10,403.34/14,356.11 = 5,927.22/x
  3. Step 3: Cross multiply
    10,403.34x = 14,356.11 × 5,927.22
  4. Step 4: Simplify right side
    10,403.34x = 85,091,822.31
  5. Step 5: Solve for x
    x = 85,091,822.31/10,403.34
  6. Step 6: Final answer
    x = 8,179.28

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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.