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Finding the Fourth Proportional to 8,575.32, 11,837.82 and 5,746.80

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Solution

The fourth proportional to 8,575.32, 11,837.82 and 5,746.80 is: 7,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.32 : 11,837.82 = 5,746.80 : x
  2. Step 2: Convert to fraction form
    8,575.32/11,837.82 = 5,746.80/x
  3. Step 3: Cross multiply
    8,575.32x = 11,837.82 × 5,746.80
  4. Step 4: Simplify right side
    8,575.32x = 68,029,567.17
  5. Step 5: Solve for x
    x = 68,029,567.17/8,575.32
  6. Step 6: Final answer
    x = 7,933.18

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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.