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Finding the Fourth Proportional to 10,495.23, 14,481.99 and 5,779.77

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Solution

The fourth proportional to 10,495.23, 14,481.99 and 5,779.77 is: 7,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.23 : 14,481.99 = 5,779.77 : x
  2. Step 2: Convert to fraction form
    10,495.23/14,481.99 = 5,779.77/x
  3. Step 3: Cross multiply
    10,495.23x = 14,481.99 × 5,779.77
  4. Step 4: Simplify right side
    10,495.23x = 83,702,571.34
  5. Step 5: Solve for x
    x = 83,702,571.34/10,495.23
  6. Step 6: Final answer
    x = 7,975.30

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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.