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Finding the Fourth Proportional to 7,782.42, 11,671.89 and 2,235.72

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Solution

The fourth proportional to 7,782.42, 11,671.89 and 2,235.72 is: 3,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.42 : 11,671.89 = 2,235.72 : x
  2. Step 2: Convert to fraction form
    7,782.42/11,671.89 = 2,235.72/x
  3. Step 3: Cross multiply
    7,782.42x = 11,671.89 × 2,235.72
  4. Step 4: Simplify right side
    7,782.42x = 26,095,077.91
  5. Step 5: Solve for x
    x = 26,095,077.91/7,782.42
  6. Step 6: Final answer
    x = 3,353.08

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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.