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Finding the Fourth Proportional to 7,904.53, 11,862.64 and 3,744.54

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Solution

The fourth proportional to 7,904.53, 11,862.64 and 3,744.54 is: 5,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.53 : 11,862.64 = 3,744.54 : x
  2. Step 2: Convert to fraction form
    7,904.53/11,862.64 = 3,744.54/x
  3. Step 3: Cross multiply
    7,904.53x = 11,862.64 × 3,744.54
  4. Step 4: Simplify right side
    7,904.53x = 44,420,134.67
  5. Step 5: Solve for x
    x = 44,420,134.67/7,904.53
  6. Step 6: Final answer
    x = 5,619.58

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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.