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Finding the Fourth Proportional to 10,208.30, 14,089.65 and 6,228.56

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Solution

The fourth proportional to 10,208.30, 14,089.65 and 6,228.56 is: 8,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.30 : 14,089.65 = 6,228.56 : x
  2. Step 2: Convert to fraction form
    10,208.30/14,089.65 = 6,228.56/x
  3. Step 3: Cross multiply
    10,208.30x = 14,089.65 × 6,228.56
  4. Step 4: Simplify right side
    10,208.30x = 87,758,230.40
  5. Step 5: Solve for x
    x = 87,758,230.40/10,208.30
  6. Step 6: Final answer
    x = 8,596.75

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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.