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Finding the Fourth Proportional to 13,175.12, 18,181.56 and 7,586

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Solution

The fourth proportional to 13,175.12, 18,181.56 and 7,586 is: 10,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.12 : 18,181.56 = 7,586 : x
  2. Step 2: Convert to fraction form
    13,175.12/18,181.56 = 7,586/x
  3. Step 3: Cross multiply
    13,175.12x = 18,181.56 × 7,586
  4. Step 4: Simplify right side
    13,175.12x = 137,925,314.16
  5. Step 5: Solve for x
    x = 137,925,314.16/13,175.12
  6. Step 6: Final answer
    x = 10,468.62

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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.