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Finding the Fourth Proportional to 8,470.82, 11,699.55 and 5,633.28

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Solution

The fourth proportional to 8,470.82, 11,699.55 and 5,633.28 is: 7,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.82 : 11,699.55 = 5,633.28 : x
  2. Step 2: Convert to fraction form
    8,470.82/11,699.55 = 5,633.28/x
  3. Step 3: Cross multiply
    8,470.82x = 11,699.55 × 5,633.28
  4. Step 4: Simplify right side
    8,470.82x = 65,906,812.86
  5. Step 5: Solve for x
    x = 65,906,812.86/8,470.82
  6. Step 6: Final answer
    x = 7,780.45

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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.