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Finding the Fourth Proportional to 10,377.06, 14,323.41 and 7,234.26

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Solution

The fourth proportional to 10,377.06, 14,323.41 and 7,234.26 is: 9,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.06 : 14,323.41 = 7,234.26 : x
  2. Step 2: Convert to fraction form
    10,377.06/14,323.41 = 7,234.26/x
  3. Step 3: Cross multiply
    10,377.06x = 14,323.41 × 7,234.26
  4. Step 4: Simplify right side
    10,377.06x = 103,619,272.03
  5. Step 5: Solve for x
    x = 103,619,272.03/10,377.06
  6. Step 6: Final answer
    x = 9,985.42

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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.