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Finding the Fourth Proportional to 8,329.44, 12,500.64 and 7,812.66

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Solution

The fourth proportional to 8,329.44, 12,500.64 and 7,812.66 is: 11,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.44 : 12,500.64 = 7,812.66 : x
  2. Step 2: Convert to fraction form
    8,329.44/12,500.64 = 7,812.66/x
  3. Step 3: Cross multiply
    8,329.44x = 12,500.64 × 7,812.66
  4. Step 4: Simplify right side
    8,329.44x = 97,663,250.10
  5. Step 5: Solve for x
    x = 97,663,250.10/8,329.44
  6. Step 6: Final answer
    x = 11,725.07

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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.