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Finding the Fourth Proportional to 10,769, 14,861.82 and 6,053.58

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Solution

The fourth proportional to 10,769, 14,861.82 and 6,053.58 is: 8,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769 : 14,861.82 = 6,053.58 : x
  2. Step 2: Convert to fraction form
    10,769/14,861.82 = 6,053.58/x
  3. Step 3: Cross multiply
    10,769x = 14,861.82 × 6,053.58
  4. Step 4: Simplify right side
    10,769x = 89,967,216.32
  5. Step 5: Solve for x
    x = 89,967,216.32/10,769
  6. Step 6: Final answer
    x = 8,354.28

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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.