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Finding the Fourth Proportional to 10,703.93, 14,771.50 and 6,230.27

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Solution

The fourth proportional to 10,703.93, 14,771.50 and 6,230.27 is: 8,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.93 : 14,771.50 = 6,230.27 : x
  2. Step 2: Convert to fraction form
    10,703.93/14,771.50 = 6,230.27/x
  3. Step 3: Cross multiply
    10,703.93x = 14,771.50 × 6,230.27
  4. Step 4: Simplify right side
    10,703.93x = 92,030,454.66
  5. Step 5: Solve for x
    x = 92,030,454.66/10,703.93
  6. Step 6: Final answer
    x = 8,597.82

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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.