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Finding the Fourth Proportional to 10,403.44, 14,356.74 and 5,687.72

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Solution

The fourth proportional to 10,403.44, 14,356.74 and 5,687.72 is: 7,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.44 : 14,356.74 = 5,687.72 : x
  2. Step 2: Convert to fraction form
    10,403.44/14,356.74 = 5,687.72/x
  3. Step 3: Cross multiply
    10,403.44x = 14,356.74 × 5,687.72
  4. Step 4: Simplify right side
    10,403.44x = 81,657,120.62
  5. Step 5: Solve for x
    x = 81,657,120.62/10,403.44
  6. Step 6: Final answer
    x = 7,849.05

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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.