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Finding the Fourth Proportional to 6,855.48, 10,277.06 and 2,410.01

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Solution

The fourth proportional to 6,855.48, 10,277.06 and 2,410.01 is: 3,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.48 : 10,277.06 = 2,410.01 : x
  2. Step 2: Convert to fraction form
    6,855.48/10,277.06 = 2,410.01/x
  3. Step 3: Cross multiply
    6,855.48x = 10,277.06 × 2,410.01
  4. Step 4: Simplify right side
    6,855.48x = 24,767,868.39
  5. Step 5: Solve for x
    x = 24,767,868.39/6,855.48
  6. Step 6: Final answer
    x = 3,612.86

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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.