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Finding the Fourth Proportional to 8,433.75, 11,638.76 and 4,656.91

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Solution

The fourth proportional to 8,433.75, 11,638.76 and 4,656.91 is: 6,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.75 : 11,638.76 = 4,656.91 : x
  2. Step 2: Convert to fraction form
    8,433.75/11,638.76 = 4,656.91/x
  3. Step 3: Cross multiply
    8,433.75x = 11,638.76 × 4,656.91
  4. Step 4: Simplify right side
    8,433.75x = 54,200,599.64
  5. Step 5: Solve for x
    x = 54,200,599.64/8,433.75
  6. Step 6: Final answer
    x = 6,426.63

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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.