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Finding the Fourth Proportional to 11,586.93, 17,381.31 and 4,566.47

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Solution

The fourth proportional to 11,586.93, 17,381.31 and 4,566.47 is: 6,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.93 : 17,381.31 = 4,566.47 : x
  2. Step 2: Convert to fraction form
    11,586.93/17,381.31 = 4,566.47/x
  3. Step 3: Cross multiply
    11,586.93x = 17,381.31 × 4,566.47
  4. Step 4: Simplify right side
    11,586.93x = 79,371,143.77
  5. Step 5: Solve for x
    x = 79,371,143.77/11,586.93
  6. Step 6: Final answer
    x = 6,850.06

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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.