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Finding the Fourth Proportional to 10,675.70, 14,739.33 and 6,904.65

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Solution

The fourth proportional to 10,675.70, 14,739.33 and 6,904.65 is: 9,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.70 : 14,739.33 = 6,904.65 : x
  2. Step 2: Convert to fraction form
    10,675.70/14,739.33 = 6,904.65/x
  3. Step 3: Cross multiply
    10,675.70x = 14,739.33 × 6,904.65
  4. Step 4: Simplify right side
    10,675.70x = 101,769,914.88
  5. Step 5: Solve for x
    x = 101,769,914.88/10,675.70
  6. Step 6: Final answer
    x = 9,532.85

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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.