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Finding the Fourth Proportional to 7,725.68, 11,585.26 and 3,340.00

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Solution

The fourth proportional to 7,725.68, 11,585.26 and 3,340.00 is: 5,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.68 : 11,585.26 = 3,340.00 : x
  2. Step 2: Convert to fraction form
    7,725.68/11,585.26 = 3,340.00/x
  3. Step 3: Cross multiply
    7,725.68x = 11,585.26 × 3,340.00
  4. Step 4: Simplify right side
    7,725.68x = 38,694,787.06
  5. Step 5: Solve for x
    x = 38,694,787.06/7,725.68
  6. Step 6: Final answer
    x = 5,008.59

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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.