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Finding the Fourth Proportional to 8,433.51, 11,638.20 and 4,656.93

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Solution

The fourth proportional to 8,433.51, 11,638.20 and 4,656.93 is: 6,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.51 : 11,638.20 = 4,656.93 : x
  2. Step 2: Convert to fraction form
    8,433.51/11,638.20 = 4,656.93/x
  3. Step 3: Cross multiply
    8,433.51x = 11,638.20 × 4,656.93
  4. Step 4: Simplify right side
    8,433.51x = 54,198,282.73
  5. Step 5: Solve for x
    x = 54,198,282.73/8,433.51
  6. Step 6: Final answer
    x = 6,426.54

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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.