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Finding the Fourth Proportional to 11,807.29, 17,705.92 and 4,406.58

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Solution

The fourth proportional to 11,807.29, 17,705.92 and 4,406.58 is: 6,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.29 : 17,705.92 = 4,406.58 : x
  2. Step 2: Convert to fraction form
    11,807.29/17,705.92 = 4,406.58/x
  3. Step 3: Cross multiply
    11,807.29x = 17,705.92 × 4,406.58
  4. Step 4: Simplify right side
    11,807.29x = 78,022,552.95
  5. Step 5: Solve for x
    x = 78,022,552.95/11,807.29
  6. Step 6: Final answer
    x = 6,608.00

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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.