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Finding the Fourth Proportional to 12,585.67, 18,880.77 and 5,186.01

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Solution

The fourth proportional to 12,585.67, 18,880.77 and 5,186.01 is: 7,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.67 : 18,880.77 = 5,186.01 : x
  2. Step 2: Convert to fraction form
    12,585.67/18,880.77 = 5,186.01/x
  3. Step 3: Cross multiply
    12,585.67x = 18,880.77 × 5,186.01
  4. Step 4: Simplify right side
    12,585.67x = 97,915,767.62
  5. Step 5: Solve for x
    x = 97,915,767.62/12,585.67
  6. Step 6: Final answer
    x = 7,779.94

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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.