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Finding the Fourth Proportional to 11,899.86, 17,852.36 and 7,402.50

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Solution

The fourth proportional to 11,899.86, 17,852.36 and 7,402.50 is: 11,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.86 : 17,852.36 = 7,402.50 : x
  2. Step 2: Convert to fraction form
    11,899.86/17,852.36 = 7,402.50/x
  3. Step 3: Cross multiply
    11,899.86x = 17,852.36 × 7,402.50
  4. Step 4: Simplify right side
    11,899.86x = 132,152,057.89
  5. Step 5: Solve for x
    x = 132,152,057.89/11,899.86
  6. Step 6: Final answer
    x = 11,105.35

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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.