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Finding the Fourth Proportional to 7,378.50, 11,060.52 and 4,084.63

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Solution

The fourth proportional to 7,378.50, 11,060.52 and 4,084.63 is: 6,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.50 : 11,060.52 = 4,084.63 : x
  2. Step 2: Convert to fraction form
    7,378.50/11,060.52 = 4,084.63/x
  3. Step 3: Cross multiply
    7,378.50x = 11,060.52 × 4,084.63
  4. Step 4: Simplify right side
    7,378.50x = 45,178,131.81
  5. Step 5: Solve for x
    x = 45,178,131.81/7,378.50
  6. Step 6: Final answer
    x = 6,122.94

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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.