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Finding the Fourth Proportional to 8,444.54, 11,649.36 and 5,462.96

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Solution

The fourth proportional to 8,444.54, 11,649.36 and 5,462.96 is: 7,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.54 : 11,649.36 = 5,462.96 : x
  2. Step 2: Convert to fraction form
    8,444.54/11,649.36 = 5,462.96/x
  3. Step 3: Cross multiply
    8,444.54x = 11,649.36 × 5,462.96
  4. Step 4: Simplify right side
    8,444.54x = 63,639,987.71
  5. Step 5: Solve for x
    x = 63,639,987.71/8,444.54
  6. Step 6: Final answer
    x = 7,536.23

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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.