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Finding the Fourth Proportional to 10,379.48, 14,325.54 and 6,188

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Solution

The fourth proportional to 10,379.48, 14,325.54 and 6,188 is: 8,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.48 : 14,325.54 = 6,188 : x
  2. Step 2: Convert to fraction form
    10,379.48/14,325.54 = 6,188/x
  3. Step 3: Cross multiply
    10,379.48x = 14,325.54 × 6,188
  4. Step 4: Simplify right side
    10,379.48x = 88,646,441.52
  5. Step 5: Solve for x
    x = 88,646,441.52/10,379.48
  6. Step 6: Final answer
    x = 8,540.55

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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.