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Finding the Fourth Proportional to 8,283.48, 12,421.30 and 3,014.78

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Solution

The fourth proportional to 8,283.48, 12,421.30 and 3,014.78 is: 4,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.48 : 12,421.30 = 3,014.78 : x
  2. Step 2: Convert to fraction form
    8,283.48/12,421.30 = 3,014.78/x
  3. Step 3: Cross multiply
    8,283.48x = 12,421.30 × 3,014.78
  4. Step 4: Simplify right side
    8,283.48x = 37,447,486.81
  5. Step 5: Solve for x
    x = 37,447,486.81/8,283.48
  6. Step 6: Final answer
    x = 4,520.74

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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.