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Finding the Fourth Proportional to 8,509.37, 11,743.20 and 5,152.82

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Solution

The fourth proportional to 8,509.37, 11,743.20 and 5,152.82 is: 7,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.37 : 11,743.20 = 5,152.82 : x
  2. Step 2: Convert to fraction form
    8,509.37/11,743.20 = 5,152.82/x
  3. Step 3: Cross multiply
    8,509.37x = 11,743.20 × 5,152.82
  4. Step 4: Simplify right side
    8,509.37x = 60,510,537.11
  5. Step 5: Solve for x
    x = 60,510,537.11/8,509.37
  6. Step 6: Final answer
    x = 7,111.05

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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.