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Finding the Fourth Proportional to 8,272.56, 11,416.17 and 4,588.95

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Solution

The fourth proportional to 8,272.56, 11,416.17 and 4,588.95 is: 6,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.56 : 11,416.17 = 4,588.95 : x
  2. Step 2: Convert to fraction form
    8,272.56/11,416.17 = 4,588.95/x
  3. Step 3: Cross multiply
    8,272.56x = 11,416.17 × 4,588.95
  4. Step 4: Simplify right side
    8,272.56x = 52,388,233.32
  5. Step 5: Solve for x
    x = 52,388,233.32/8,272.56
  6. Step 6: Final answer
    x = 6,332.77

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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.