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Finding the Fourth Proportional to 7,732.49, 11,594.85 and 3,784.04

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Solution

The fourth proportional to 7,732.49, 11,594.85 and 3,784.04 is: 5,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.49 : 11,594.85 = 3,784.04 : x
  2. Step 2: Convert to fraction form
    7,732.49/11,594.85 = 3,784.04/x
  3. Step 3: Cross multiply
    7,732.49x = 11,594.85 × 3,784.04
  4. Step 4: Simplify right side
    7,732.49x = 43,875,405.18
  5. Step 5: Solve for x
    x = 43,875,405.18/7,732.49
  6. Step 6: Final answer
    x = 5,674.16

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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.