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Finding the Fourth Proportional to 11,176.68, 15,422.64 and 6,462.48

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Solution

The fourth proportional to 11,176.68, 15,422.64 and 6,462.48 is: 8,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.68 : 15,422.64 = 6,462.48 : x
  2. Step 2: Convert to fraction form
    11,176.68/15,422.64 = 6,462.48/x
  3. Step 3: Cross multiply
    11,176.68x = 15,422.64 × 6,462.48
  4. Step 4: Simplify right side
    11,176.68x = 99,668,502.55
  5. Step 5: Solve for x
    x = 99,668,502.55/11,176.68
  6. Step 6: Final answer
    x = 8,917.54

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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.