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Finding the Fourth Proportional to 7,345.56, 11,042.64 and 6,804.48

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Solution

The fourth proportional to 7,345.56, 11,042.64 and 6,804.48 is: 10,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.56 : 11,042.64 = 6,804.48 : x
  2. Step 2: Convert to fraction form
    7,345.56/11,042.64 = 6,804.48/x
  3. Step 3: Cross multiply
    7,345.56x = 11,042.64 × 6,804.48
  4. Step 4: Simplify right side
    7,345.56x = 75,139,423.03
  5. Step 5: Solve for x
    x = 75,139,423.03/7,345.56
  6. Step 6: Final answer
    x = 10,229.23

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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.