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Finding the Fourth Proportional to 10,809.02, 14,916.41 and 5,841.02

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Solution

The fourth proportional to 10,809.02, 14,916.41 and 5,841.02 is: 8,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.02 : 14,916.41 = 5,841.02 : x
  2. Step 2: Convert to fraction form
    10,809.02/14,916.41 = 5,841.02/x
  3. Step 3: Cross multiply
    10,809.02x = 14,916.41 × 5,841.02
  4. Step 4: Simplify right side
    10,809.02x = 87,127,049.14
  5. Step 5: Solve for x
    x = 87,127,049.14/10,809.02
  6. Step 6: Final answer
    x = 8,060.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.