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Finding the Fourth Proportional to 7,483.75, 11,218.83 and 4,702

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Solution

The fourth proportional to 7,483.75, 11,218.83 and 4,702 is: 7,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.75 : 11,218.83 = 4,702 : x
  2. Step 2: Convert to fraction form
    7,483.75/11,218.83 = 4,702/x
  3. Step 3: Cross multiply
    7,483.75x = 11,218.83 × 4,702
  4. Step 4: Simplify right side
    7,483.75x = 52,750,938.66
  5. Step 5: Solve for x
    x = 52,750,938.66/7,483.75
  6. Step 6: Final answer
    x = 7,048.73

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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.