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Finding the Fourth Proportional to 8,165.77, 11,271.16 and 5,333.59

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Solution

The fourth proportional to 8,165.77, 11,271.16 and 5,333.59 is: 7,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.77 : 11,271.16 = 5,333.59 : x
  2. Step 2: Convert to fraction form
    8,165.77/11,271.16 = 5,333.59/x
  3. Step 3: Cross multiply
    8,165.77x = 11,271.16 × 5,333.59
  4. Step 4: Simplify right side
    8,165.77x = 60,115,746.26
  5. Step 5: Solve for x
    x = 60,115,746.26/8,165.77
  6. Step 6: Final answer
    x = 7,361.92

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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.