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Finding the Fourth Proportional to 11,449.22, 15,798.92 and 6,412.77

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Solution

The fourth proportional to 11,449.22, 15,798.92 and 6,412.77 is: 8,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.22 : 15,798.92 = 6,412.77 : x
  2. Step 2: Convert to fraction form
    11,449.22/15,798.92 = 6,412.77/x
  3. Step 3: Cross multiply
    11,449.22x = 15,798.92 × 6,412.77
  4. Step 4: Simplify right side
    11,449.22x = 101,314,808.14
  5. Step 5: Solve for x
    x = 101,314,808.14/11,449.22
  6. Step 6: Final answer
    x = 8,849.06

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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.