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Finding the Fourth Proportional to 11,875.73, 17,807.45 and 5,209.48

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Solution

The fourth proportional to 11,875.73, 17,807.45 and 5,209.48 is: 7,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.73 : 17,807.45 = 5,209.48 : x
  2. Step 2: Convert to fraction form
    11,875.73/17,807.45 = 5,209.48/x
  3. Step 3: Cross multiply
    11,875.73x = 17,807.45 × 5,209.48
  4. Step 4: Simplify right side
    11,875.73x = 92,767,550.84
  5. Step 5: Solve for x
    x = 92,767,550.84/11,875.73
  6. Step 6: Final answer
    x = 7,811.52

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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.