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Finding the Fourth Proportional to 7,536.56, 11,302.53 and 5,211.50

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Solution

The fourth proportional to 7,536.56, 11,302.53 and 5,211.50 is: 7,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.56 : 11,302.53 = 5,211.50 : x
  2. Step 2: Convert to fraction form
    7,536.56/11,302.53 = 5,211.50/x
  3. Step 3: Cross multiply
    7,536.56x = 11,302.53 × 5,211.50
  4. Step 4: Simplify right side
    7,536.56x = 58,903,109.04
  5. Step 5: Solve for x
    x = 58,903,109.04/7,536.56
  6. Step 6: Final answer
    x = 7,815.65

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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.