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Finding the Fourth Proportional to 8,583.14, 12,876.64 and 4,634.31

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Solution

The fourth proportional to 8,583.14, 12,876.64 and 4,634.31 is: 6,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.14 : 12,876.64 = 4,634.31 : x
  2. Step 2: Convert to fraction form
    8,583.14/12,876.64 = 4,634.31/x
  3. Step 3: Cross multiply
    8,583.14x = 12,876.64 × 4,634.31
  4. Step 4: Simplify right side
    8,583.14x = 59,674,341.52
  5. Step 5: Solve for x
    x = 59,674,341.52/8,583.14
  6. Step 6: Final answer
    x = 6,952.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.