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Finding the Fourth Proportional to 10,709.37, 14,779.89 and 6,172.74

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Solution

The fourth proportional to 10,709.37, 14,779.89 and 6,172.74 is: 8,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.37 : 14,779.89 = 6,172.74 : x
  2. Step 2: Convert to fraction form
    10,709.37/14,779.89 = 6,172.74/x
  3. Step 3: Cross multiply
    10,709.37x = 14,779.89 × 6,172.74
  4. Step 4: Simplify right side
    10,709.37x = 91,232,418.20
  5. Step 5: Solve for x
    x = 91,232,418.20/10,709.37
  6. Step 6: Final answer
    x = 8,518.93

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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.