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Finding the Fourth Proportional to 6,807.51, 10,215.45 and 2,424.60

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Solution

The fourth proportional to 6,807.51, 10,215.45 and 2,424.60 is: 3,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.51 : 10,215.45 = 2,424.60 : x
  2. Step 2: Convert to fraction form
    6,807.51/10,215.45 = 2,424.60/x
  3. Step 3: Cross multiply
    6,807.51x = 10,215.45 × 2,424.60
  4. Step 4: Simplify right side
    6,807.51x = 24,768,380.07
  5. Step 5: Solve for x
    x = 24,768,380.07/6,807.51
  6. Step 6: Final answer
    x = 3,638.39

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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.