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Finding the Fourth Proportional to 11,587.52, 15,986.74 and 7,107.80

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Solution

The fourth proportional to 11,587.52, 15,986.74 and 7,107.80 is: 9,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.52 : 15,986.74 = 7,107.80 : x
  2. Step 2: Convert to fraction form
    11,587.52/15,986.74 = 7,107.80/x
  3. Step 3: Cross multiply
    11,587.52x = 15,986.74 × 7,107.80
  4. Step 4: Simplify right side
    11,587.52x = 113,630,550.57
  5. Step 5: Solve for x
    x = 113,630,550.57/11,587.52
  6. Step 6: Final answer
    x = 9,806.29

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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.