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Finding the Fourth Proportional to 8,210.40, 12,315.60 and 5,440.20

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Solution

The fourth proportional to 8,210.40, 12,315.60 and 5,440.20 is: 8,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.40 : 12,315.60 = 5,440.20 : x
  2. Step 2: Convert to fraction form
    8,210.40/12,315.60 = 5,440.20/x
  3. Step 3: Cross multiply
    8,210.40x = 12,315.60 × 5,440.20
  4. Step 4: Simplify right side
    8,210.40x = 66,999,327.12
  5. Step 5: Solve for x
    x = 66,999,327.12/8,210.40
  6. Step 6: Final answer
    x = 8,160.30

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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.