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Finding the Fourth Proportional to 8,446.30, 11,656.34 and 5,090.17

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Solution

The fourth proportional to 8,446.30, 11,656.34 and 5,090.17 is: 7,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.30 : 11,656.34 = 5,090.17 : x
  2. Step 2: Convert to fraction form
    8,446.30/11,656.34 = 5,090.17/x
  3. Step 3: Cross multiply
    8,446.30x = 11,656.34 × 5,090.17
  4. Step 4: Simplify right side
    8,446.30x = 59,332,752.18
  5. Step 5: Solve for x
    x = 59,332,752.18/8,446.30
  6. Step 6: Final answer
    x = 7,024.70

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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.