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Finding the Fourth Proportional to 8,389.75, 11,577.94 and 4,612.82

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Solution

The fourth proportional to 8,389.75, 11,577.94 and 4,612.82 is: 6,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.75 : 11,577.94 = 4,612.82 : x
  2. Step 2: Convert to fraction form
    8,389.75/11,577.94 = 4,612.82/x
  3. Step 3: Cross multiply
    8,389.75x = 11,577.94 × 4,612.82
  4. Step 4: Simplify right side
    8,389.75x = 53,406,981.46
  5. Step 5: Solve for x
    x = 53,406,981.46/8,389.75
  6. Step 6: Final answer
    x = 6,365.74

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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.