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Finding the Fourth Proportional to 10,245.34, 14,138.77 and 6,053.60

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Solution

The fourth proportional to 10,245.34, 14,138.77 and 6,053.60 is: 8,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.34 : 14,138.77 = 6,053.60 : x
  2. Step 2: Convert to fraction form
    10,245.34/14,138.77 = 6,053.60/x
  3. Step 3: Cross multiply
    10,245.34x = 14,138.77 × 6,053.60
  4. Step 4: Simplify right side
    10,245.34x = 85,590,458.07
  5. Step 5: Solve for x
    x = 85,590,458.07/10,245.34
  6. Step 6: Final answer
    x = 8,354.09

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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.