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Finding the Fourth Proportional to 8,062.34, 12,088.08 and 4,115

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Solution

The fourth proportional to 8,062.34, 12,088.08 and 4,115 is: 6,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.34 : 12,088.08 = 4,115 : x
  2. Step 2: Convert to fraction form
    8,062.34/12,088.08 = 4,115/x
  3. Step 3: Cross multiply
    8,062.34x = 12,088.08 × 4,115
  4. Step 4: Simplify right side
    8,062.34x = 49,742,449.20
  5. Step 5: Solve for x
    x = 49,742,449.20/8,062.34
  6. Step 6: Final answer
    x = 6,169.73

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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.