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Finding the Fourth Proportional to 8,659.41, 12,987.91 and 3,111.95

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Solution

The fourth proportional to 8,659.41, 12,987.91 and 3,111.95 is: 4,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.41 : 12,987.91 = 3,111.95 : x
  2. Step 2: Convert to fraction form
    8,659.41/12,987.91 = 3,111.95/x
  3. Step 3: Cross multiply
    8,659.41x = 12,987.91 × 3,111.95
  4. Step 4: Simplify right side
    8,659.41x = 40,417,762.88
  5. Step 5: Solve for x
    x = 40,417,762.88/8,659.41
  6. Step 6: Final answer
    x = 4,667.50

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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.