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Finding the Fourth Proportional to 10,496.24, 14,485.42 and 6,019.96

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Solution

The fourth proportional to 10,496.24, 14,485.42 and 6,019.96 is: 8,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.24 : 14,485.42 = 6,019.96 : x
  2. Step 2: Convert to fraction form
    10,496.24/14,485.42 = 6,019.96/x
  3. Step 3: Cross multiply
    10,496.24x = 14,485.42 × 6,019.96
  4. Step 4: Simplify right side
    10,496.24x = 87,201,648.98
  5. Step 5: Solve for x
    x = 87,201,648.98/10,496.24
  6. Step 6: Final answer
    x = 8,307.89

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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.