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Finding the Fourth Proportional to 7,873.13, 11,797.79 and 4,749.66

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Solution

The fourth proportional to 7,873.13, 11,797.79 and 4,749.66 is: 7,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.13 : 11,797.79 = 4,749.66 : x
  2. Step 2: Convert to fraction form
    7,873.13/11,797.79 = 4,749.66/x
  3. Step 3: Cross multiply
    7,873.13x = 11,797.79 × 4,749.66
  4. Step 4: Simplify right side
    7,873.13x = 56,035,467.50
  5. Step 5: Solve for x
    x = 56,035,467.50/7,873.13
  6. Step 6: Final answer
    x = 7,117.30

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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.