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Finding the Fourth Proportional to 8,565.66, 12,842.94 and 5,635.08

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Solution

The fourth proportional to 8,565.66, 12,842.94 and 5,635.08 is: 8,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.66 : 12,842.94 = 5,635.08 : x
  2. Step 2: Convert to fraction form
    8,565.66/12,842.94 = 5,635.08/x
  3. Step 3: Cross multiply
    8,565.66x = 12,842.94 × 5,635.08
  4. Step 4: Simplify right side
    8,565.66x = 72,370,994.34
  5. Step 5: Solve for x
    x = 72,370,994.34/8,565.66
  6. Step 6: Final answer
    x = 8,448.97

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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.