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Finding the Fourth Proportional to 7,773.00, 11,652.16 and 3,095.90

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Solution

The fourth proportional to 7,773.00, 11,652.16 and 3,095.90 is: 4,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.00 : 11,652.16 = 3,095.90 : x
  2. Step 2: Convert to fraction form
    7,773.00/11,652.16 = 3,095.90/x
  3. Step 3: Cross multiply
    7,773.00x = 11,652.16 × 3,095.90
  4. Step 4: Simplify right side
    7,773.00x = 36,073,907.12
  5. Step 5: Solve for x
    x = 36,073,907.12/7,773.00
  6. Step 6: Final answer
    x = 4,640.92

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Why These Related Problems?

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