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Finding the Fourth Proportional to 10,675.69, 14,739.23 and 6,900.68

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Solution

The fourth proportional to 10,675.69, 14,739.23 and 6,900.68 is: 9,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.69 : 14,739.23 = 6,900.68 : x
  2. Step 2: Convert to fraction form
    10,675.69/14,739.23 = 6,900.68/x
  3. Step 3: Cross multiply
    10,675.69x = 14,739.23 × 6,900.68
  4. Step 4: Simplify right side
    10,675.69x = 101,710,709.68
  5. Step 5: Solve for x
    x = 101,710,709.68/10,675.69
  6. Step 6: Final answer
    x = 9,527.32

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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.