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Finding the Fourth Proportional to 8,052.29, 11,111.07 and 4,649.42

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Solution

The fourth proportional to 8,052.29, 11,111.07 and 4,649.42 is: 6,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.29 : 11,111.07 = 4,649.42 : x
  2. Step 2: Convert to fraction form
    8,052.29/11,111.07 = 4,649.42/x
  3. Step 3: Cross multiply
    8,052.29x = 11,111.07 × 4,649.42
  4. Step 4: Simplify right side
    8,052.29x = 51,660,031.08
  5. Step 5: Solve for x
    x = 51,660,031.08/8,052.29
  6. Step 6: Final answer
    x = 6,415.57

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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.