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Finding the Fourth Proportional to 10,382.70, 14,328.14 and 5,907.33

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Solution

The fourth proportional to 10,382.70, 14,328.14 and 5,907.33 is: 8,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.70 : 14,328.14 = 5,907.33 : x
  2. Step 2: Convert to fraction form
    10,382.70/14,328.14 = 5,907.33/x
  3. Step 3: Cross multiply
    10,382.70x = 14,328.14 × 5,907.33
  4. Step 4: Simplify right side
    10,382.70x = 84,641,021.73
  5. Step 5: Solve for x
    x = 84,641,021.73/10,382.70
  6. Step 6: Final answer
    x = 8,152.12

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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.