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Finding the Fourth Proportional to 7,766.64, 11,647.98 and 2,835.36

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Solution

The fourth proportional to 7,766.64, 11,647.98 and 2,835.36 is: 4,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.64 : 11,647.98 = 2,835.36 : x
  2. Step 2: Convert to fraction form
    7,766.64/11,647.98 = 2,835.36/x
  3. Step 3: Cross multiply
    7,766.64x = 11,647.98 × 2,835.36
  4. Step 4: Simplify right side
    7,766.64x = 33,026,216.57
  5. Step 5: Solve for x
    x = 33,026,216.57/7,766.64
  6. Step 6: Final answer
    x = 4,252.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.