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Finding the Fourth Proportional to 10,409.90, 15,620.95 and 3,840.66

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Solution

The fourth proportional to 10,409.90, 15,620.95 and 3,840.66 is: 5,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.90 : 15,620.95 = 3,840.66 : x
  2. Step 2: Convert to fraction form
    10,409.90/15,620.95 = 3,840.66/x
  3. Step 3: Cross multiply
    10,409.90x = 15,620.95 × 3,840.66
  4. Step 4: Simplify right side
    10,409.90x = 59,994,757.83
  5. Step 5: Solve for x
    x = 59,994,757.83/10,409.90
  6. Step 6: Final answer
    x = 5,763.24

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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.