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Finding the Fourth Proportional to 7,536.06, 11,301.78 and 5,211

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Solution

The fourth proportional to 7,536.06, 11,301.78 and 5,211 is: 7,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.06 : 11,301.78 = 5,211 : x
  2. Step 2: Convert to fraction form
    7,536.06/11,301.78 = 5,211/x
  3. Step 3: Cross multiply
    7,536.06x = 11,301.78 × 5,211
  4. Step 4: Simplify right side
    7,536.06x = 58,893,549.53
  5. Step 5: Solve for x
    x = 58,893,549.53/7,536.06
  6. Step 6: Final answer
    x = 7,814.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.