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Finding the Fourth Proportional to 10,980.81, 16,443 and 6,044.94

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Solution

The fourth proportional to 10,980.81, 16,443 and 6,044.94 is: 9,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.81 : 16,443 = 6,044.94 : x
  2. Step 2: Convert to fraction form
    10,980.81/16,443 = 6,044.94/x
  3. Step 3: Cross multiply
    10,980.81x = 16,443 × 6,044.94
  4. Step 4: Simplify right side
    10,980.81x = 99,396,948.42
  5. Step 5: Solve for x
    x = 99,396,948.42/10,980.81
  6. Step 6: Final answer
    x = 9,051.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.