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Finding the Fourth Proportional to 11,403.94, 15,734.63 and 6,927.42

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Solution

The fourth proportional to 11,403.94, 15,734.63 and 6,927.42 is: 9,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.94 : 15,734.63 = 6,927.42 : x
  2. Step 2: Convert to fraction form
    11,403.94/15,734.63 = 6,927.42/x
  3. Step 3: Cross multiply
    11,403.94x = 15,734.63 × 6,927.42
  4. Step 4: Simplify right side
    11,403.94x = 109,000,447.39
  5. Step 5: Solve for x
    x = 109,000,447.39/11,403.94
  6. Step 6: Final answer
    x = 9,558.14

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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.