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Finding the Fourth Proportional to 8,723.12, 12,028.74 and 7,468.32

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Solution

The fourth proportional to 8,723.12, 12,028.74 and 7,468.32 is: 10,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.12 : 12,028.74 = 7,468.32 : x
  2. Step 2: Convert to fraction form
    8,723.12/12,028.74 = 7,468.32/x
  3. Step 3: Cross multiply
    8,723.12x = 12,028.74 × 7,468.32
  4. Step 4: Simplify right side
    8,723.12x = 89,834,479.52
  5. Step 5: Solve for x
    x = 89,834,479.52/8,723.12
  6. Step 6: Final answer
    x = 10,298.44

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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.