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Finding the Fourth Proportional to 8,447.64, 11,656.74 and 5,090.40

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Solution

The fourth proportional to 8,447.64, 11,656.74 and 5,090.40 is: 7,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.64 : 11,656.74 = 5,090.40 : x
  2. Step 2: Convert to fraction form
    8,447.64/11,656.74 = 5,090.40/x
  3. Step 3: Cross multiply
    8,447.64x = 11,656.74 × 5,090.40
  4. Step 4: Simplify right side
    8,447.64x = 59,337,469.30
  5. Step 5: Solve for x
    x = 59,337,469.30/8,447.64
  6. Step 6: Final answer
    x = 7,024.15

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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.