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Finding the Fourth Proportional to 10,280.12, 15,421.12 and 2,884.68

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Solution

The fourth proportional to 10,280.12, 15,421.12 and 2,884.68 is: 4,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.12 : 15,421.12 = 2,884.68 : x
  2. Step 2: Convert to fraction form
    10,280.12/15,421.12 = 2,884.68/x
  3. Step 3: Cross multiply
    10,280.12x = 15,421.12 × 2,884.68
  4. Step 4: Simplify right side
    10,280.12x = 44,484,989.23
  5. Step 5: Solve for x
    x = 44,484,989.23/10,280.12
  6. Step 6: Final answer
    x = 4,327.29

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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.