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Finding the Fourth Proportional to 7,917.44, 11,889.77 and 7,029.98

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Solution

The fourth proportional to 7,917.44, 11,889.77 and 7,029.98 is: 10,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.44 : 11,889.77 = 7,029.98 : x
  2. Step 2: Convert to fraction form
    7,917.44/11,889.77 = 7,029.98/x
  3. Step 3: Cross multiply
    7,917.44x = 11,889.77 × 7,029.98
  4. Step 4: Simplify right side
    7,917.44x = 83,584,750.71
  5. Step 5: Solve for x
    x = 83,584,750.71/7,917.44
  6. Step 6: Final answer
    x = 10,557.05

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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.