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Finding the Fourth Proportional to 7,937.64, 11,899.46 and 3,003.68

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Solution

The fourth proportional to 7,937.64, 11,899.46 and 3,003.68 is: 4,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.64 : 11,899.46 = 3,003.68 : x
  2. Step 2: Convert to fraction form
    7,937.64/11,899.46 = 3,003.68/x
  3. Step 3: Cross multiply
    7,937.64x = 11,899.46 × 3,003.68
  4. Step 4: Simplify right side
    7,937.64x = 35,742,095.50
  5. Step 5: Solve for x
    x = 35,742,095.50/7,937.64
  6. Step 6: Final answer
    x = 4,502.86

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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.