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Finding the Fourth Proportional to 8,500.23, 11,730.71 and 4,723.40

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Solution

The fourth proportional to 8,500.23, 11,730.71 and 4,723.40 is: 6,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.23 : 11,730.71 = 4,723.40 : x
  2. Step 2: Convert to fraction form
    8,500.23/11,730.71 = 4,723.40/x
  3. Step 3: Cross multiply
    8,500.23x = 11,730.71 × 4,723.40
  4. Step 4: Simplify right side
    8,500.23x = 55,408,835.61
  5. Step 5: Solve for x
    x = 55,408,835.61/8,500.23
  6. Step 6: Final answer
    x = 6,518.51

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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.