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Finding the Fourth Proportional to 11,207.34, 16,796.63 and 5,648.25

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Solution

The fourth proportional to 11,207.34, 16,796.63 and 5,648.25 is: 8,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.34 : 16,796.63 = 5,648.25 : x
  2. Step 2: Convert to fraction form
    11,207.34/16,796.63 = 5,648.25/x
  3. Step 3: Cross multiply
    11,207.34x = 16,796.63 × 5,648.25
  4. Step 4: Simplify right side
    11,207.34x = 94,871,537.16
  5. Step 5: Solve for x
    x = 94,871,537.16/11,207.34
  6. Step 6: Final answer
    x = 8,465.13

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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.