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Finding the Fourth Proportional to 8,111.64, 12,169.08 and 2,565.50

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Solution

The fourth proportional to 8,111.64, 12,169.08 and 2,565.50 is: 3,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.64 : 12,169.08 = 2,565.50 : x
  2. Step 2: Convert to fraction form
    8,111.64/12,169.08 = 2,565.50/x
  3. Step 3: Cross multiply
    8,111.64x = 12,169.08 × 2,565.50
  4. Step 4: Simplify right side
    8,111.64x = 31,219,774.74
  5. Step 5: Solve for x
    x = 31,219,774.74/8,111.64
  6. Step 6: Final answer
    x = 3,848.76

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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.