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Finding the Fourth Proportional to 7,586.18, 11,381.63 and 6,801.24

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Solution

The fourth proportional to 7,586.18, 11,381.63 and 6,801.24 is: 10,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.18 : 11,381.63 = 6,801.24 : x
  2. Step 2: Convert to fraction form
    7,586.18/11,381.63 = 6,801.24/x
  3. Step 3: Cross multiply
    7,586.18x = 11,381.63 × 6,801.24
  4. Step 4: Simplify right side
    7,586.18x = 77,409,197.22
  5. Step 5: Solve for x
    x = 77,409,197.22/7,586.18
  6. Step 6: Final answer
    x = 10,203.98

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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.