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Finding the Fourth Proportional to 10,911.60, 16,362 and 5,064.48

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Solution

The fourth proportional to 10,911.60, 16,362 and 5,064.48 is: 7,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.60 : 16,362 = 5,064.48 : x
  2. Step 2: Convert to fraction form
    10,911.60/16,362 = 5,064.48/x
  3. Step 3: Cross multiply
    10,911.60x = 16,362 × 5,064.48
  4. Step 4: Simplify right side
    10,911.60x = 82,865,021.76
  5. Step 5: Solve for x
    x = 82,865,021.76/10,911.60
  6. Step 6: Final answer
    x = 7,594.21

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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.