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Finding the Fourth Proportional to 8,436.12, 11,642.06 and 4,659.34

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Solution

The fourth proportional to 8,436.12, 11,642.06 and 4,659.34 is: 6,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.12 : 11,642.06 = 4,659.34 : x
  2. Step 2: Convert to fraction form
    8,436.12/11,642.06 = 4,659.34/x
  3. Step 3: Cross multiply
    8,436.12x = 11,642.06 × 4,659.34
  4. Step 4: Simplify right side
    8,436.12x = 54,244,298.38
  5. Step 5: Solve for x
    x = 54,244,298.38/8,436.12
  6. Step 6: Final answer
    x = 6,430.01

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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.