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Finding the Fourth Proportional to 10,485.53, 14,469.80 and 6,011.91

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Solution

The fourth proportional to 10,485.53, 14,469.80 and 6,011.91 is: 8,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.53 : 14,469.80 = 6,011.91 : x
  2. Step 2: Convert to fraction form
    10,485.53/14,469.80 = 6,011.91/x
  3. Step 3: Cross multiply
    10,485.53x = 14,469.80 × 6,011.91
  4. Step 4: Simplify right side
    10,485.53x = 86,991,105.26
  5. Step 5: Solve for x
    x = 86,991,105.26/10,485.53
  6. Step 6: Final answer
    x = 8,296.30

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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.