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Finding the Fourth Proportional to 8,430.90, 12,645.18 and 2,884.16

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Solution

The fourth proportional to 8,430.90, 12,645.18 and 2,884.16 is: 4,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.90 : 12,645.18 = 2,884.16 : x
  2. Step 2: Convert to fraction form
    8,430.90/12,645.18 = 2,884.16/x
  3. Step 3: Cross multiply
    8,430.90x = 12,645.18 × 2,884.16
  4. Step 4: Simplify right side
    8,430.90x = 36,470,659.12
  5. Step 5: Solve for x
    x = 36,470,659.12/8,430.90
  6. Step 6: Final answer
    x = 4,325.83

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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.