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Finding the Fourth Proportional to 7,777.72, 11,663.61 and 3,334.96

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Solution

The fourth proportional to 7,777.72, 11,663.61 and 3,334.96 is: 5,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.72 : 11,663.61 = 3,334.96 : x
  2. Step 2: Convert to fraction form
    7,777.72/11,663.61 = 3,334.96/x
  3. Step 3: Cross multiply
    7,777.72x = 11,663.61 × 3,334.96
  4. Step 4: Simplify right side
    7,777.72x = 38,897,672.81
  5. Step 5: Solve for x
    x = 38,897,672.81/7,777.72
  6. Step 6: Final answer
    x = 5,001.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.