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Finding the Fourth Proportional to 8,139.64, 11,235 and 4,782.55

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Solution

The fourth proportional to 8,139.64, 11,235 and 4,782.55 is: 6,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.64 : 11,235 = 4,782.55 : x
  2. Step 2: Convert to fraction form
    8,139.64/11,235 = 4,782.55/x
  3. Step 3: Cross multiply
    8,139.64x = 11,235 × 4,782.55
  4. Step 4: Simplify right side
    8,139.64x = 53,731,949.25
  5. Step 5: Solve for x
    x = 53,731,949.25/8,139.64
  6. Step 6: Final answer
    x = 6,601.27

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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.