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Finding the Fourth Proportional to 7,537.56, 11,304.02 and 5,212.50

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Solution

The fourth proportional to 7,537.56, 11,304.02 and 5,212.50 is: 7,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.56 : 11,304.02 = 5,212.50 : x
  2. Step 2: Convert to fraction form
    7,537.56/11,304.02 = 5,212.50/x
  3. Step 3: Cross multiply
    7,537.56x = 11,304.02 × 5,212.50
  4. Step 4: Simplify right side
    7,537.56x = 58,922,204.25
  5. Step 5: Solve for x
    x = 58,922,204.25/7,537.56
  6. Step 6: Final answer
    x = 7,817.15

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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.