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Finding the Fourth Proportional to 11,445.34, 15,796.16 and 8,268.91

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Solution

The fourth proportional to 11,445.34, 15,796.16 and 8,268.91 is: 11,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.34 : 15,796.16 = 8,268.91 : x
  2. Step 2: Convert to fraction form
    11,445.34/15,796.16 = 8,268.91/x
  3. Step 3: Cross multiply
    11,445.34x = 15,796.16 × 8,268.91
  4. Step 4: Simplify right side
    11,445.34x = 130,617,025.39
  5. Step 5: Solve for x
    x = 130,617,025.39/11,445.34
  6. Step 6: Final answer
    x = 11,412.25

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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.