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Finding the Fourth Proportional to 10,735.39, 14,814.99 and 6,485.86

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Solution

The fourth proportional to 10,735.39, 14,814.99 and 6,485.86 is: 8,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.39 : 14,814.99 = 6,485.86 : x
  2. Step 2: Convert to fraction form
    10,735.39/14,814.99 = 6,485.86/x
  3. Step 3: Cross multiply
    10,735.39x = 14,814.99 × 6,485.86
  4. Step 4: Simplify right side
    10,735.39x = 96,087,951.04
  5. Step 5: Solve for x
    x = 96,087,951.04/10,735.39
  6. Step 6: Final answer
    x = 8,950.58

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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.