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Finding the Fourth Proportional to 7,790.80, 11,686.30 and 3,629.64

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Solution

The fourth proportional to 7,790.80, 11,686.30 and 3,629.64 is: 5,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.80 : 11,686.30 = 3,629.64 : x
  2. Step 2: Convert to fraction form
    7,790.80/11,686.30 = 3,629.64/x
  3. Step 3: Cross multiply
    7,790.80x = 11,686.30 × 3,629.64
  4. Step 4: Simplify right side
    7,790.80x = 42,417,061.93
  5. Step 5: Solve for x
    x = 42,417,061.93/7,790.80
  6. Step 6: Final answer
    x = 5,444.51

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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.