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Finding the Fourth Proportional to 8,951.35, 13,426 and 2,378.07

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Solution

The fourth proportional to 8,951.35, 13,426 and 2,378.07 is: 3,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.35 : 13,426 = 2,378.07 : x
  2. Step 2: Convert to fraction form
    8,951.35/13,426 = 2,378.07/x
  3. Step 3: Cross multiply
    8,951.35x = 13,426 × 2,378.07
  4. Step 4: Simplify right side
    8,951.35x = 31,927,967.82
  5. Step 5: Solve for x
    x = 31,927,967.82/8,951.35
  6. Step 6: Final answer
    x = 3,566.83

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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.