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Finding the Fourth Proportional to 8,719.62, 12,026.98 and 5,734.50

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Solution

The fourth proportional to 8,719.62, 12,026.98 and 5,734.50 is: 7,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.62 : 12,026.98 = 5,734.50 : x
  2. Step 2: Convert to fraction form
    8,719.62/12,026.98 = 5,734.50/x
  3. Step 3: Cross multiply
    8,719.62x = 12,026.98 × 5,734.50
  4. Step 4: Simplify right side
    8,719.62x = 68,968,716.81
  5. Step 5: Solve for x
    x = 68,968,716.81/8,719.62
  6. Step 6: Final answer
    x = 7,909.60

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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.