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Finding the Fourth Proportional to 8,434.64, 11,639.82 and 4,708.64

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Solution

The fourth proportional to 8,434.64, 11,639.82 and 4,708.64 is: 6,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.64 : 11,639.82 = 4,708.64 : x
  2. Step 2: Convert to fraction form
    8,434.64/11,639.82 = 4,708.64/x
  3. Step 3: Cross multiply
    8,434.64x = 11,639.82 × 4,708.64
  4. Step 4: Simplify right side
    8,434.64x = 54,807,722.04
  5. Step 5: Solve for x
    x = 54,807,722.04/8,434.64
  6. Step 6: Final answer
    x = 6,497.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.