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Finding the Fourth Proportional to 12,751.50, 19,129.94 and 3,987.07

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Solution

The fourth proportional to 12,751.50, 19,129.94 and 3,987.07 is: 5,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.50 : 19,129.94 = 3,987.07 : x
  2. Step 2: Convert to fraction form
    12,751.50/19,129.94 = 3,987.07/x
  3. Step 3: Cross multiply
    12,751.50x = 19,129.94 × 3,987.07
  4. Step 4: Simplify right side
    12,751.50x = 76,272,409.88
  5. Step 5: Solve for x
    x = 76,272,409.88/12,751.50
  6. Step 6: Final answer
    x = 5,981.45

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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.