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Finding the Fourth Proportional to 10,305.54, 14,219.91 and 6,055.74

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Solution

The fourth proportional to 10,305.54, 14,219.91 and 6,055.74 is: 8,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.54 : 14,219.91 = 6,055.74 : x
  2. Step 2: Convert to fraction form
    10,305.54/14,219.91 = 6,055.74/x
  3. Step 3: Cross multiply
    10,305.54x = 14,219.91 × 6,055.74
  4. Step 4: Simplify right side
    10,305.54x = 86,112,077.78
  5. Step 5: Solve for x
    x = 86,112,077.78/10,305.54
  6. Step 6: Final answer
    x = 8,355.90

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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.