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Finding the Fourth Proportional to 10,385.19, 14,324.19 and 6,407.60

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Solution

The fourth proportional to 10,385.19, 14,324.19 and 6,407.60 is: 8,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.19 : 14,324.19 = 6,407.60 : x
  2. Step 2: Convert to fraction form
    10,385.19/14,324.19 = 6,407.60/x
  3. Step 3: Cross multiply
    10,385.19x = 14,324.19 × 6,407.60
  4. Step 4: Simplify right side
    10,385.19x = 91,783,608.22
  5. Step 5: Solve for x
    x = 91,783,608.22/10,385.19
  6. Step 6: Final answer
    x = 8,837.93

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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.