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Finding the Fourth Proportional to 8,392.64, 11,581.86 and 4,616.03

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Solution

The fourth proportional to 8,392.64, 11,581.86 and 4,616.03 is: 6,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.64 : 11,581.86 = 4,616.03 : x
  2. Step 2: Convert to fraction form
    8,392.64/11,581.86 = 4,616.03/x
  3. Step 3: Cross multiply
    8,392.64x = 11,581.86 × 4,616.03
  4. Step 4: Simplify right side
    8,392.64x = 53,462,259.48
  5. Step 5: Solve for x
    x = 53,462,259.48/8,392.64
  6. Step 6: Final answer
    x = 6,370.14

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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.