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Finding the Fourth Proportional to 6,802.40, 10,203.60 and 5,266.40

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Solution

The fourth proportional to 6,802.40, 10,203.60 and 5,266.40 is: 7,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.40 : 10,203.60 = 5,266.40 : x
  2. Step 2: Convert to fraction form
    6,802.40/10,203.60 = 5,266.40/x
  3. Step 3: Cross multiply
    6,802.40x = 10,203.60 × 5,266.40
  4. Step 4: Simplify right side
    6,802.40x = 53,736,239.04
  5. Step 5: Solve for x
    x = 53,736,239.04/6,802.40
  6. Step 6: Final answer
    x = 7,899.60

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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.