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Finding the Fourth Proportional to 10,504.25, 14,495.91 and 6,314.93

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Solution

The fourth proportional to 10,504.25, 14,495.91 and 6,314.93 is: 8,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.25 : 14,495.91 = 6,314.93 : x
  2. Step 2: Convert to fraction form
    10,504.25/14,495.91 = 6,314.93/x
  3. Step 3: Cross multiply
    10,504.25x = 14,495.91 × 6,314.93
  4. Step 4: Simplify right side
    10,504.25x = 91,540,656.94
  5. Step 5: Solve for x
    x = 91,540,656.94/10,504.25
  6. Step 6: Final answer
    x = 8,714.63

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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.