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Finding the Fourth Proportional to 8,254.74, 11,391.44 and 4,477.83

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Solution

The fourth proportional to 8,254.74, 11,391.44 and 4,477.83 is: 6,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.74 : 11,391.44 = 4,477.83 : x
  2. Step 2: Convert to fraction form
    8,254.74/11,391.44 = 4,477.83/x
  3. Step 3: Cross multiply
    8,254.74x = 11,391.44 × 4,477.83
  4. Step 4: Simplify right side
    8,254.74x = 51,008,931.78
  5. Step 5: Solve for x
    x = 51,008,931.78/8,254.74
  6. Step 6: Final answer
    x = 6,179.35

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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.