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Finding the Fourth Proportional to 7,505.19, 11,257.92 and 3,802.95

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Solution

The fourth proportional to 7,505.19, 11,257.92 and 3,802.95 is: 5,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.19 : 11,257.92 = 3,802.95 : x
  2. Step 2: Convert to fraction form
    7,505.19/11,257.92 = 3,802.95/x
  3. Step 3: Cross multiply
    7,505.19x = 11,257.92 × 3,802.95
  4. Step 4: Simplify right side
    7,505.19x = 42,813,306.86
  5. Step 5: Solve for x
    x = 42,813,306.86/7,505.19
  6. Step 6: Final answer
    x = 5,704.49

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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.