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Finding the Fourth Proportional to 8,024.40, 12,036.60 and 7,206.30

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Solution

The fourth proportional to 8,024.40, 12,036.60 and 7,206.30 is: 10,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.40 : 12,036.60 = 7,206.30 : x
  2. Step 2: Convert to fraction form
    8,024.40/12,036.60 = 7,206.30/x
  3. Step 3: Cross multiply
    8,024.40x = 12,036.60 × 7,206.30
  4. Step 4: Simplify right side
    8,024.40x = 86,739,350.58
  5. Step 5: Solve for x
    x = 86,739,350.58/8,024.40
  6. Step 6: Final answer
    x = 10,809.45

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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.