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Finding the Fourth Proportional to 8,281.41, 11,416.62 and 5,919.45

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Solution

The fourth proportional to 8,281.41, 11,416.62 and 5,919.45 is: 8,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.41 : 11,416.62 = 5,919.45 : x
  2. Step 2: Convert to fraction form
    8,281.41/11,416.62 = 5,919.45/x
  3. Step 3: Cross multiply
    8,281.41x = 11,416.62 × 5,919.45
  4. Step 4: Simplify right side
    8,281.41x = 67,580,111.26
  5. Step 5: Solve for x
    x = 67,580,111.26/8,281.41
  6. Step 6: Final answer
    x = 8,160.46

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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.