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Finding the Fourth Proportional to 7,285.42, 10,924.89 and 5,095.18

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Solution

The fourth proportional to 7,285.42, 10,924.89 and 5,095.18 is: 7,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285.42 : 10,924.89 = 5,095.18 : x
  2. Step 2: Convert to fraction form
    7,285.42/10,924.89 = 5,095.18/x
  3. Step 3: Cross multiply
    7,285.42x = 10,924.89 × 5,095.18
  4. Step 4: Simplify right side
    7,285.42x = 55,664,281.03
  5. Step 5: Solve for x
    x = 55,664,281.03/7,285.42
  6. Step 6: Final answer
    x = 7,640.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.