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Finding the Fourth Proportional to 10,454.92, 14,429.09 and 5,978.05

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Solution

The fourth proportional to 10,454.92, 14,429.09 and 5,978.05 is: 8,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.92 : 14,429.09 = 5,978.05 : x
  2. Step 2: Convert to fraction form
    10,454.92/14,429.09 = 5,978.05/x
  3. Step 3: Cross multiply
    10,454.92x = 14,429.09 × 5,978.05
  4. Step 4: Simplify right side
    10,454.92x = 86,257,821.47
  5. Step 5: Solve for x
    x = 86,257,821.47/10,454.92
  6. Step 6: Final answer
    x = 8,250.45

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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.