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Finding the Fourth Proportional to 10,483.46, 14,466 and 6,005.99

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Solution

The fourth proportional to 10,483.46, 14,466 and 6,005.99 is: 8,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.46 : 14,466 = 6,005.99 : x
  2. Step 2: Convert to fraction form
    10,483.46/14,466 = 6,005.99/x
  3. Step 3: Cross multiply
    10,483.46x = 14,466 × 6,005.99
  4. Step 4: Simplify right side
    10,483.46x = 86,882,651.34
  5. Step 5: Solve for x
    x = 86,882,651.34/10,483.46
  6. Step 6: Final answer
    x = 8,287.59

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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.