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Finding the Fourth Proportional to 6,853.95, 10,300.14 and 4,081.05

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Solution

The fourth proportional to 6,853.95, 10,300.14 and 4,081.05 is: 6,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.95 : 10,300.14 = 4,081.05 : x
  2. Step 2: Convert to fraction form
    6,853.95/10,300.14 = 4,081.05/x
  3. Step 3: Cross multiply
    6,853.95x = 10,300.14 × 4,081.05
  4. Step 4: Simplify right side
    6,853.95x = 42,035,386.35
  5. Step 5: Solve for x
    x = 42,035,386.35/6,853.95
  6. Step 6: Final answer
    x = 6,133.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.