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Finding the Fourth Proportional to 10,594.62, 14,635.83 and 8,467.42

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Solution

The fourth proportional to 10,594.62, 14,635.83 and 8,467.42 is: 11,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.62 : 14,635.83 = 8,467.42 : x
  2. Step 2: Convert to fraction form
    10,594.62/14,635.83 = 8,467.42/x
  3. Step 3: Cross multiply
    10,594.62x = 14,635.83 × 8,467.42
  4. Step 4: Simplify right side
    10,594.62x = 123,927,719.66
  5. Step 5: Solve for x
    x = 123,927,719.66/10,594.62
  6. Step 6: Final answer
    x = 11,697.23

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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.