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Finding the Fourth Proportional to 7,772.40, 10,725.84 and 4,787.04

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Solution

The fourth proportional to 7,772.40, 10,725.84 and 4,787.04 is: 6,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.40 : 10,725.84 = 4,787.04 : x
  2. Step 2: Convert to fraction form
    7,772.40/10,725.84 = 4,787.04/x
  3. Step 3: Cross multiply
    7,772.40x = 10,725.84 × 4,787.04
  4. Step 4: Simplify right side
    7,772.40x = 51,345,025.11
  5. Step 5: Solve for x
    x = 51,345,025.11/7,772.40
  6. Step 6: Final answer
    x = 6,606.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.