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Finding the Fourth Proportional to 7,849.50, 10,833.28 and 4,537.50

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Solution

The fourth proportional to 7,849.50, 10,833.28 and 4,537.50 is: 6,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.50 : 10,833.28 = 4,537.50 : x
  2. Step 2: Convert to fraction form
    7,849.50/10,833.28 = 4,537.50/x
  3. Step 3: Cross multiply
    7,849.50x = 10,833.28 × 4,537.50
  4. Step 4: Simplify right side
    7,849.50x = 49,156,008
  5. Step 5: Solve for x
    x = 49,156,008/7,849.50
  6. Step 6: Final answer
    x = 6,262.31

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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.