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Finding the Fourth Proportional to 8,364.47, 11,543.13 and 5,007.43

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Solution

The fourth proportional to 8,364.47, 11,543.13 and 5,007.43 is: 6,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.47 : 11,543.13 = 5,007.43 : x
  2. Step 2: Convert to fraction form
    8,364.47/11,543.13 = 5,007.43/x
  3. Step 3: Cross multiply
    8,364.47x = 11,543.13 × 5,007.43
  4. Step 4: Simplify right side
    8,364.47x = 57,801,415.46
  5. Step 5: Solve for x
    x = 57,801,415.46/8,364.47
  6. Step 6: Final answer
    x = 6,910.35

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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.