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Finding the Fourth Proportional to 8,500.47, 11,730.47 and 4,723.42

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Solution

The fourth proportional to 8,500.47, 11,730.47 and 4,723.42 is: 6,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.47 : 11,730.47 = 4,723.42 : x
  2. Step 2: Convert to fraction form
    8,500.47/11,730.47 = 4,723.42/x
  3. Step 3: Cross multiply
    8,500.47x = 11,730.47 × 4,723.42
  4. Step 4: Simplify right side
    8,500.47x = 55,407,936.61
  5. Step 5: Solve for x
    x = 55,407,936.61/8,500.47
  6. Step 6: Final answer
    x = 6,518.22

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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.