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Finding the Fourth Proportional to 8,565.36, 12,848.07 and 2,409.36

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Solution

The fourth proportional to 8,565.36, 12,848.07 and 2,409.36 is: 3,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.36 : 12,848.07 = 2,409.36 : x
  2. Step 2: Convert to fraction form
    8,565.36/12,848.07 = 2,409.36/x
  3. Step 3: Cross multiply
    8,565.36x = 12,848.07 × 2,409.36
  4. Step 4: Simplify right side
    8,565.36x = 30,955,625.94
  5. Step 5: Solve for x
    x = 30,955,625.94/8,565.36
  6. Step 6: Final answer
    x = 3,614.05

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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.