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Finding the Fourth Proportional to 8,232.96, 11,362.14 and 4,695.36

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Solution

The fourth proportional to 8,232.96, 11,362.14 and 4,695.36 is: 6,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.96 : 11,362.14 = 4,695.36 : x
  2. Step 2: Convert to fraction form
    8,232.96/11,362.14 = 4,695.36/x
  3. Step 3: Cross multiply
    8,232.96x = 11,362.14 × 4,695.36
  4. Step 4: Simplify right side
    8,232.96x = 53,349,337.67
  5. Step 5: Solve for x
    x = 53,349,337.67/8,232.96
  6. Step 6: Final answer
    x = 6,479.97

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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.