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Finding the Fourth Proportional to 7,077.50, 10,606.16 and 3,376.70

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Solution

The fourth proportional to 7,077.50, 10,606.16 and 3,376.70 is: 5,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.50 : 10,606.16 = 3,376.70 : x
  2. Step 2: Convert to fraction form
    7,077.50/10,606.16 = 3,376.70/x
  3. Step 3: Cross multiply
    7,077.50x = 10,606.16 × 3,376.70
  4. Step 4: Simplify right side
    7,077.50x = 35,813,820.47
  5. Step 5: Solve for x
    x = 35,813,820.47/7,077.50
  6. Step 6: Final answer
    x = 5,060.24

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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.