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Finding the Fourth Proportional to 10,699.02, 14,765.33 and 5,983.32

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Solution

The fourth proportional to 10,699.02, 14,765.33 and 5,983.32 is: 8,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.02 : 14,765.33 = 5,983.32 : x
  2. Step 2: Convert to fraction form
    10,699.02/14,765.33 = 5,983.32/x
  3. Step 3: Cross multiply
    10,699.02x = 14,765.33 × 5,983.32
  4. Step 4: Simplify right side
    10,699.02x = 88,345,664.38
  5. Step 5: Solve for x
    x = 88,345,664.38/10,699.02
  6. Step 6: Final answer
    x = 8,257.36

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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.