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Finding the Fourth Proportional to 11,381.82, 15,707.11 and 6,277.92

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Solution

The fourth proportional to 11,381.82, 15,707.11 and 6,277.92 is: 8,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.82 : 15,707.11 = 6,277.92 : x
  2. Step 2: Convert to fraction form
    11,381.82/15,707.11 = 6,277.92/x
  3. Step 3: Cross multiply
    11,381.82x = 15,707.11 × 6,277.92
  4. Step 4: Simplify right side
    11,381.82x = 98,607,999.48
  5. Step 5: Solve for x
    x = 98,607,999.48/11,381.82
  6. Step 6: Final answer
    x = 8,663.64

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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.