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Finding the Fourth Proportional to 8,276.81, 12,417.26 and 3,014.68

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Solution

The fourth proportional to 8,276.81, 12,417.26 and 3,014.68 is: 4,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.81 : 12,417.26 = 3,014.68 : x
  2. Step 2: Convert to fraction form
    8,276.81/12,417.26 = 3,014.68/x
  3. Step 3: Cross multiply
    8,276.81x = 12,417.26 × 3,014.68
  4. Step 4: Simplify right side
    8,276.81x = 37,434,081.20
  5. Step 5: Solve for x
    x = 37,434,081.20/8,276.81
  6. Step 6: Final answer
    x = 4,522.77

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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.