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Finding the Fourth Proportional to 10,735.45, 14,815.07 and 6,485.92

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Solution

The fourth proportional to 10,735.45, 14,815.07 and 6,485.92 is: 8,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.45 : 14,815.07 = 6,485.92 : x
  2. Step 2: Convert to fraction form
    10,735.45/14,815.07 = 6,485.92/x
  3. Step 3: Cross multiply
    10,735.45x = 14,815.07 × 6,485.92
  4. Step 4: Simplify right side
    10,735.45x = 96,089,337.99
  5. Step 5: Solve for x
    x = 96,089,337.99/10,735.45
  6. Step 6: Final answer
    x = 8,950.66

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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.