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Finding the Fourth Proportional to 8,462.16, 11,677.63 and 4,685.25

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Solution

The fourth proportional to 8,462.16, 11,677.63 and 4,685.25 is: 6,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.16 : 11,677.63 = 4,685.25 : x
  2. Step 2: Convert to fraction form
    8,462.16/11,677.63 = 4,685.25/x
  3. Step 3: Cross multiply
    8,462.16x = 11,677.63 × 4,685.25
  4. Step 4: Simplify right side
    8,462.16x = 54,712,615.96
  5. Step 5: Solve for x
    x = 54,712,615.96/8,462.16
  6. Step 6: Final answer
    x = 6,465.56

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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.