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Finding the Fourth Proportional to 7,652.75, 11,479.16 and 2,106.68

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Solution

The fourth proportional to 7,652.75, 11,479.16 and 2,106.68 is: 3,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.75 : 11,479.16 = 2,106.68 : x
  2. Step 2: Convert to fraction form
    7,652.75/11,479.16 = 2,106.68/x
  3. Step 3: Cross multiply
    7,652.75x = 11,479.16 × 2,106.68
  4. Step 4: Simplify right side
    7,652.75x = 24,182,848.86
  5. Step 5: Solve for x
    x = 24,182,848.86/7,652.75
  6. Step 6: Final answer
    x = 3,160.02

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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.