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Finding the Fourth Proportional to 10,382.95, 14,328.78 and 5,905.87

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Solution

The fourth proportional to 10,382.95, 14,328.78 and 5,905.87 is: 8,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.95 : 14,328.78 = 5,905.87 : x
  2. Step 2: Convert to fraction form
    10,382.95/14,328.78 = 5,905.87/x
  3. Step 3: Cross multiply
    10,382.95x = 14,328.78 × 5,905.87
  4. Step 4: Simplify right side
    10,382.95x = 84,623,911.94
  5. Step 5: Solve for x
    x = 84,623,911.94/10,382.95
  6. Step 6: Final answer
    x = 8,150.28

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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.