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Finding the Fourth Proportional to 10,479.30, 14,455.09 and 6,446.80

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Solution

The fourth proportional to 10,479.30, 14,455.09 and 6,446.80 is: 8,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.30 : 14,455.09 = 6,446.80 : x
  2. Step 2: Convert to fraction form
    10,479.30/14,455.09 = 6,446.80/x
  3. Step 3: Cross multiply
    10,479.30x = 14,455.09 × 6,446.80
  4. Step 4: Simplify right side
    10,479.30x = 93,189,074.21
  5. Step 5: Solve for x
    x = 93,189,074.21/10,479.30
  6. Step 6: Final answer
    x = 8,892.68

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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.