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Finding the Fourth Proportional to 8,534.46, 12,800.48 and 2,690.31

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Solution

The fourth proportional to 8,534.46, 12,800.48 and 2,690.31 is: 4,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.46 : 12,800.48 = 2,690.31 : x
  2. Step 2: Convert to fraction form
    8,534.46/12,800.48 = 2,690.31/x
  3. Step 3: Cross multiply
    8,534.46x = 12,800.48 × 2,690.31
  4. Step 4: Simplify right side
    8,534.46x = 34,437,259.35
  5. Step 5: Solve for x
    x = 34,437,259.35/8,534.46
  6. Step 6: Final answer
    x = 4,035.08

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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.