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Finding the Fourth Proportional to 8,575.34, 11,835.02 and 5,218.50

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Solution

The fourth proportional to 8,575.34, 11,835.02 and 5,218.50 is: 7,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.34 : 11,835.02 = 5,218.50 : x
  2. Step 2: Convert to fraction form
    8,575.34/11,835.02 = 5,218.50/x
  3. Step 3: Cross multiply
    8,575.34x = 11,835.02 × 5,218.50
  4. Step 4: Simplify right side
    8,575.34x = 61,761,020.53
  5. Step 5: Solve for x
    x = 61,761,020.53/8,575.34
  6. Step 6: Final answer
    x = 7,202.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.