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Finding the Fourth Proportional to 8,663.72, 11,954.58 and 4,937

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Solution

The fourth proportional to 8,663.72, 11,954.58 and 4,937 is: 6,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.72 : 11,954.58 = 4,937 : x
  2. Step 2: Convert to fraction form
    8,663.72/11,954.58 = 4,937/x
  3. Step 3: Cross multiply
    8,663.72x = 11,954.58 × 4,937
  4. Step 4: Simplify right side
    8,663.72x = 59,019,761.46
  5. Step 5: Solve for x
    x = 59,019,761.46/8,663.72
  6. Step 6: Final answer
    x = 6,812.29

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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.