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Finding the Fourth Proportional to 7,845.12, 10,827.54 and 7,585.65

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Solution

The fourth proportional to 7,845.12, 10,827.54 and 7,585.65 is: 10,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.12 : 10,827.54 = 7,585.65 : x
  2. Step 2: Convert to fraction form
    7,845.12/10,827.54 = 7,585.65/x
  3. Step 3: Cross multiply
    7,845.12x = 10,827.54 × 7,585.65
  4. Step 4: Simplify right side
    7,845.12x = 82,133,928.80
  5. Step 5: Solve for x
    x = 82,133,928.80/7,845.12
  6. Step 6: Final answer
    x = 10,469.43

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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.