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Finding the Fourth Proportional to 10,764.14, 14,855.88 and 6,048.42

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Solution

The fourth proportional to 10,764.14, 14,855.88 and 6,048.42 is: 8,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.14 : 14,855.88 = 6,048.42 : x
  2. Step 2: Convert to fraction form
    10,764.14/14,855.88 = 6,048.42/x
  3. Step 3: Cross multiply
    10,764.14x = 14,855.88 × 6,048.42
  4. Step 4: Simplify right side
    10,764.14x = 89,854,635.23
  5. Step 5: Solve for x
    x = 89,854,635.23/10,764.14
  6. Step 6: Final answer
    x = 8,347.59

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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.