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Finding the Fourth Proportional to 11,342.48, 17,011 and 4,768.80

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Solution

The fourth proportional to 11,342.48, 17,011 and 4,768.80 is: 7,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.48 : 17,011 = 4,768.80 : x
  2. Step 2: Convert to fraction form
    11,342.48/17,011 = 4,768.80/x
  3. Step 3: Cross multiply
    11,342.48x = 17,011 × 4,768.80
  4. Step 4: Simplify right side
    11,342.48x = 81,122,056.80
  5. Step 5: Solve for x
    x = 81,122,056.80/11,342.48
  6. Step 6: Final answer
    x = 7,152.06

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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.