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Finding the Fourth Proportional to 8,565.86, 12,848.34 and 2,722.02

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Solution

The fourth proportional to 8,565.86, 12,848.34 and 2,722.02 is: 4,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.86 : 12,848.34 = 2,722.02 : x
  2. Step 2: Convert to fraction form
    8,565.86/12,848.34 = 2,722.02/x
  3. Step 3: Cross multiply
    8,565.86x = 12,848.34 × 2,722.02
  4. Step 4: Simplify right side
    8,565.86x = 34,973,438.45
  5. Step 5: Solve for x
    x = 34,973,438.45/8,565.86
  6. Step 6: Final answer
    x = 4,082.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.