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Finding the Fourth Proportional to 11,433.61, 15,777.34 and 7,241.77

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Solution

The fourth proportional to 11,433.61, 15,777.34 and 7,241.77 is: 9,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.61 : 15,777.34 = 7,241.77 : x
  2. Step 2: Convert to fraction form
    11,433.61/15,777.34 = 7,241.77/x
  3. Step 3: Cross multiply
    11,433.61x = 15,777.34 × 7,241.77
  4. Step 4: Simplify right side
    11,433.61x = 114,255,867.49
  5. Step 5: Solve for x
    x = 114,255,867.49/11,433.61
  6. Step 6: Final answer
    x = 9,992.98

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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.