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Finding the Fourth Proportional to 8,465.64, 12,699.94 and 3,538.74

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Solution

The fourth proportional to 8,465.64, 12,699.94 and 3,538.74 is: 5,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.64 : 12,699.94 = 3,538.74 : x
  2. Step 2: Convert to fraction form
    8,465.64/12,699.94 = 3,538.74/x
  3. Step 3: Cross multiply
    8,465.64x = 12,699.94 × 3,538.74
  4. Step 4: Simplify right side
    8,465.64x = 44,941,785.68
  5. Step 5: Solve for x
    x = 44,941,785.68/8,465.64
  6. Step 6: Final answer
    x = 5,308.73

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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.