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Finding the Fourth Proportional to 8,303.77, 12,455.84 and 3,106.81

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Solution

The fourth proportional to 8,303.77, 12,455.84 and 3,106.81 is: 4,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.77 : 12,455.84 = 3,106.81 : x
  2. Step 2: Convert to fraction form
    8,303.77/12,455.84 = 3,106.81/x
  3. Step 3: Cross multiply
    8,303.77x = 12,455.84 × 3,106.81
  4. Step 4: Simplify right side
    8,303.77x = 38,697,928.27
  5. Step 5: Solve for x
    x = 38,697,928.27/8,303.77
  6. Step 6: Final answer
    x = 4,660.28

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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.