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Finding the Fourth Proportional to 8,314.03, 11,468.55 and 4,955.77

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Solution

The fourth proportional to 8,314.03, 11,468.55 and 4,955.77 is: 6,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.03 : 11,468.55 = 4,955.77 : x
  2. Step 2: Convert to fraction form
    8,314.03/11,468.55 = 4,955.77/x
  3. Step 3: Cross multiply
    8,314.03x = 11,468.55 × 4,955.77
  4. Step 4: Simplify right side
    8,314.03x = 56,835,496.03
  5. Step 5: Solve for x
    x = 56,835,496.03/8,314.03
  6. Step 6: Final answer
    x = 6,836.09

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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.