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Finding the Fourth Proportional to 10,703.23, 14,770.23 and 5,923.60

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Solution

The fourth proportional to 10,703.23, 14,770.23 and 5,923.60 is: 8,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.23 : 14,770.23 = 5,923.60 : x
  2. Step 2: Convert to fraction form
    10,703.23/14,770.23 = 5,923.60/x
  3. Step 3: Cross multiply
    10,703.23x = 14,770.23 × 5,923.60
  4. Step 4: Simplify right side
    10,703.23x = 87,492,934.43
  5. Step 5: Solve for x
    x = 87,492,934.43/10,703.23
  6. Step 6: Final answer
    x = 8,174.44

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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.