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Finding the Fourth Proportional to 8,152.92, 11,256.03 and 5,634.09

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Solution

The fourth proportional to 8,152.92, 11,256.03 and 5,634.09 is: 7,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.92 : 11,256.03 = 5,634.09 : x
  2. Step 2: Convert to fraction form
    8,152.92/11,256.03 = 5,634.09/x
  3. Step 3: Cross multiply
    8,152.92x = 11,256.03 × 5,634.09
  4. Step 4: Simplify right side
    8,152.92x = 63,417,486.06
  5. Step 5: Solve for x
    x = 63,417,486.06/8,152.92
  6. Step 6: Final answer
    x = 7,778.50

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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.