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Finding the Fourth Proportional to 10,537.87, 14,535.83 and 6,759.76

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Solution

The fourth proportional to 10,537.87, 14,535.83 and 6,759.76 is: 9,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.87 : 14,535.83 = 6,759.76 : x
  2. Step 2: Convert to fraction form
    10,537.87/14,535.83 = 6,759.76/x
  3. Step 3: Cross multiply
    10,537.87x = 14,535.83 × 6,759.76
  4. Step 4: Simplify right side
    10,537.87x = 98,258,615.72
  5. Step 5: Solve for x
    x = 98,258,615.72/10,537.87
  6. Step 6: Final answer
    x = 9,324.34

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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.