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Finding the Fourth Proportional to 7,858.68, 11,792.03 and 5,228.03

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Solution

The fourth proportional to 7,858.68, 11,792.03 and 5,228.03 is: 7,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.68 : 11,792.03 = 5,228.03 : x
  2. Step 2: Convert to fraction form
    7,858.68/11,792.03 = 5,228.03/x
  3. Step 3: Cross multiply
    7,858.68x = 11,792.03 × 5,228.03
  4. Step 4: Simplify right side
    7,858.68x = 61,649,001.50
  5. Step 5: Solve for x
    x = 61,649,001.50/7,858.68
  6. Step 6: Final answer
    x = 7,844.70

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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.