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Finding the Fourth Proportional to 8,433.64, 11,638.38 and 4,707.64

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Solution

The fourth proportional to 8,433.64, 11,638.38 and 4,707.64 is: 6,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.64 : 11,638.38 = 4,707.64 : x
  2. Step 2: Convert to fraction form
    8,433.64/11,638.38 = 4,707.64/x
  3. Step 3: Cross multiply
    8,433.64x = 11,638.38 × 4,707.64
  4. Step 4: Simplify right side
    8,433.64x = 54,789,303.22
  5. Step 5: Solve for x
    x = 54,789,303.22/8,433.64
  6. Step 6: Final answer
    x = 6,496.52

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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.