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Finding the Fourth Proportional to 8,331.47, 11,493.10 and 5,642.77

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Solution

The fourth proportional to 8,331.47, 11,493.10 and 5,642.77 is: 7,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.47 : 11,493.10 = 5,642.77 : x
  2. Step 2: Convert to fraction form
    8,331.47/11,493.10 = 5,642.77/x
  3. Step 3: Cross multiply
    8,331.47x = 11,493.10 × 5,642.77
  4. Step 4: Simplify right side
    8,331.47x = 64,852,919.89
  5. Step 5: Solve for x
    x = 64,852,919.89/8,331.47
  6. Step 6: Final answer
    x = 7,784.09

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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.