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Finding the Fourth Proportional to 8,477.74, 12,709.72 and 7,321.47

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Solution

The fourth proportional to 8,477.74, 12,709.72 and 7,321.47 is: 10,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.74 : 12,709.72 = 7,321.47 : x
  2. Step 2: Convert to fraction form
    8,477.74/12,709.72 = 7,321.47/x
  3. Step 3: Cross multiply
    8,477.74x = 12,709.72 × 7,321.47
  4. Step 4: Simplify right side
    8,477.74x = 93,053,833.69
  5. Step 5: Solve for x
    x = 93,053,833.69/8,477.74
  6. Step 6: Final answer
    x = 10,976.25

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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.