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Finding the Fourth Proportional to 7,122.48, 10,685.88 and 5,046.50

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Solution

The fourth proportional to 7,122.48, 10,685.88 and 5,046.50 is: 7,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.48 : 10,685.88 = 5,046.50 : x
  2. Step 2: Convert to fraction form
    7,122.48/10,685.88 = 5,046.50/x
  3. Step 3: Cross multiply
    7,122.48x = 10,685.88 × 5,046.50
  4. Step 4: Simplify right side
    7,122.48x = 53,926,239.99
  5. Step 5: Solve for x
    x = 53,926,239.99/7,122.48
  6. Step 6: Final answer
    x = 7,571.27

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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.