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Finding the Fourth Proportional to 10,840, 16,262.52 and 5,573.02

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Solution

The fourth proportional to 10,840, 16,262.52 and 5,573.02 is: 8,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840 : 16,262.52 = 5,573.02 : x
  2. Step 2: Convert to fraction form
    10,840/16,262.52 = 5,573.02/x
  3. Step 3: Cross multiply
    10,840x = 16,262.52 × 5,573.02
  4. Step 4: Simplify right side
    10,840x = 90,631,349.21
  5. Step 5: Solve for x
    x = 90,631,349.21/10,840
  6. Step 6: Final answer
    x = 8,360.83

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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.