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Finding the Fourth Proportional to 10,637.96, 15,956.94 and 4,796.24

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Solution

The fourth proportional to 10,637.96, 15,956.94 and 4,796.24 is: 7,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.96 : 15,956.94 = 4,796.24 : x
  2. Step 2: Convert to fraction form
    10,637.96/15,956.94 = 4,796.24/x
  3. Step 3: Cross multiply
    10,637.96x = 15,956.94 × 4,796.24
  4. Step 4: Simplify right side
    10,637.96x = 76,533,313.91
  5. Step 5: Solve for x
    x = 76,533,313.91/10,637.96
  6. Step 6: Final answer
    x = 7,194.36

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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.