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Finding the Fourth Proportional to 8,624.93, 11,896.20 and 5,085.63

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Solution

The fourth proportional to 8,624.93, 11,896.20 and 5,085.63 is: 7,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.93 : 11,896.20 = 5,085.63 : x
  2. Step 2: Convert to fraction form
    8,624.93/11,896.20 = 5,085.63/x
  3. Step 3: Cross multiply
    8,624.93x = 11,896.20 × 5,085.63
  4. Step 4: Simplify right side
    8,624.93x = 60,499,671.61
  5. Step 5: Solve for x
    x = 60,499,671.61/8,624.93
  6. Step 6: Final answer
    x = 7,014.52

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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.