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Finding the Fourth Proportional to 8,434.16, 11,638.62 and 4,657.23

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Solution

The fourth proportional to 8,434.16, 11,638.62 and 4,657.23 is: 6,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.16 : 11,638.62 = 4,657.23 : x
  2. Step 2: Convert to fraction form
    8,434.16/11,638.62 = 4,657.23/x
  3. Step 3: Cross multiply
    8,434.16x = 11,638.62 × 4,657.23
  4. Step 4: Simplify right side
    8,434.16x = 54,203,730.22
  5. Step 5: Solve for x
    x = 54,203,730.22/8,434.16
  6. Step 6: Final answer
    x = 6,426.69

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