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Finding the Fourth Proportional to 7,693.52, 11,529.40 and 5,954

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Solution

The fourth proportional to 7,693.52, 11,529.40 and 5,954 is: 8,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.52 : 11,529.40 = 5,954 : x
  2. Step 2: Convert to fraction form
    7,693.52/11,529.40 = 5,954/x
  3. Step 3: Cross multiply
    7,693.52x = 11,529.40 × 5,954
  4. Step 4: Simplify right side
    7,693.52x = 68,646,047.60
  5. Step 5: Solve for x
    x = 68,646,047.60/7,693.52
  6. Step 6: Final answer
    x = 8,922.58

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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.