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Finding the Fourth Proportional to 8,289.42, 12,412.92 and 4,587.54

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Solution

The fourth proportional to 8,289.42, 12,412.92 and 4,587.54 is: 6,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.42 : 12,412.92 = 4,587.54 : x
  2. Step 2: Convert to fraction form
    8,289.42/12,412.92 = 4,587.54/x
  3. Step 3: Cross multiply
    8,289.42x = 12,412.92 × 4,587.54
  4. Step 4: Simplify right side
    8,289.42x = 56,944,767.02
  5. Step 5: Solve for x
    x = 56,944,767.02/8,289.42
  6. Step 6: Final answer
    x = 6,869.57

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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.