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Finding the Fourth Proportional to 10,378.48, 14,324.16 and 6,187

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Solution

The fourth proportional to 10,378.48, 14,324.16 and 6,187 is: 8,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.48 : 14,324.16 = 6,187 : x
  2. Step 2: Convert to fraction form
    10,378.48/14,324.16 = 6,187/x
  3. Step 3: Cross multiply
    10,378.48x = 14,324.16 × 6,187
  4. Step 4: Simplify right side
    10,378.48x = 88,623,577.92
  5. Step 5: Solve for x
    x = 88,623,577.92/10,378.48
  6. Step 6: Final answer
    x = 8,539.17

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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.