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Finding the Fourth Proportional to 8,364.97, 11,543.82 and 5,007.93

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Solution

The fourth proportional to 8,364.97, 11,543.82 and 5,007.93 is: 6,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.97 : 11,543.82 = 5,007.93 : x
  2. Step 2: Convert to fraction form
    8,364.97/11,543.82 = 5,007.93/x
  3. Step 3: Cross multiply
    8,364.97x = 11,543.82 × 5,007.93
  4. Step 4: Simplify right side
    8,364.97x = 57,810,642.49
  5. Step 5: Solve for x
    x = 57,810,642.49/8,364.97
  6. Step 6: Final answer
    x = 6,911.04

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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.