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Finding the Fourth Proportional to 10,842.93, 16,270.54 and 4,999.54

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Solution

The fourth proportional to 10,842.93, 16,270.54 and 4,999.54 is: 7,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.93 : 16,270.54 = 4,999.54 : x
  2. Step 2: Convert to fraction form
    10,842.93/16,270.54 = 4,999.54/x
  3. Step 3: Cross multiply
    10,842.93x = 16,270.54 × 4,999.54
  4. Step 4: Simplify right side
    10,842.93x = 81,345,134.79
  5. Step 5: Solve for x
    x = 81,345,134.79/10,842.93
  6. Step 6: Final answer
    x = 7,502.14

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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.