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Finding the Fourth Proportional to 8,735.16, 13,102.74 and 2,892.24

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Solution

The fourth proportional to 8,735.16, 13,102.74 and 2,892.24 is: 4,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.16 : 13,102.74 = 2,892.24 : x
  2. Step 2: Convert to fraction form
    8,735.16/13,102.74 = 2,892.24/x
  3. Step 3: Cross multiply
    8,735.16x = 13,102.74 × 2,892.24
  4. Step 4: Simplify right side
    8,735.16x = 37,896,268.74
  5. Step 5: Solve for x
    x = 37,896,268.74/8,735.16
  6. Step 6: Final answer
    x = 4,338.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.