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Finding the Fourth Proportional to 8,802.40, 13,203.60 and 8,219.20

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Solution

The fourth proportional to 8,802.40, 13,203.60 and 8,219.20 is: 12,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.40 : 13,203.60 = 8,219.20 : x
  2. Step 2: Convert to fraction form
    8,802.40/13,203.60 = 8,219.20/x
  3. Step 3: Cross multiply
    8,802.40x = 13,203.60 × 8,219.20
  4. Step 4: Simplify right side
    8,802.40x = 108,523,029.12
  5. Step 5: Solve for x
    x = 108,523,029.12/8,802.40
  6. Step 6: Final answer
    x = 12,328.80

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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.