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Finding the Fourth Proportional to 8,263.35, 12,400.29 and 7,716.60

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Solution

The fourth proportional to 8,263.35, 12,400.29 and 7,716.60 is: 11,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.35 : 12,400.29 = 7,716.60 : x
  2. Step 2: Convert to fraction form
    8,263.35/12,400.29 = 7,716.60/x
  3. Step 3: Cross multiply
    8,263.35x = 12,400.29 × 7,716.60
  4. Step 4: Simplify right side
    8,263.35x = 95,688,077.81
  5. Step 5: Solve for x
    x = 95,688,077.81/8,263.35
  6. Step 6: Final answer
    x = 11,579.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.