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Finding the Fourth Proportional to 10,784.70, 14,883 and 5,939.98

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Solution

The fourth proportional to 10,784.70, 14,883 and 5,939.98 is: 8,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.70 : 14,883 = 5,939.98 : x
  2. Step 2: Convert to fraction form
    10,784.70/14,883 = 5,939.98/x
  3. Step 3: Cross multiply
    10,784.70x = 14,883 × 5,939.98
  4. Step 4: Simplify right side
    10,784.70x = 88,404,722.34
  5. Step 5: Solve for x
    x = 88,404,722.34/10,784.70
  6. Step 6: Final answer
    x = 8,197.24

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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.