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Finding the Fourth Proportional to 10,322.10, 15,490.17 and 6,804.54

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Solution

The fourth proportional to 10,322.10, 15,490.17 and 6,804.54 is: 10,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.10 : 15,490.17 = 6,804.54 : x
  2. Step 2: Convert to fraction form
    10,322.10/15,490.17 = 6,804.54/x
  3. Step 3: Cross multiply
    10,322.10x = 15,490.17 × 6,804.54
  4. Step 4: Simplify right side
    10,322.10x = 105,403,481.37
  5. Step 5: Solve for x
    x = 105,403,481.37/10,322.10
  6. Step 6: Final answer
    x = 10,211.44

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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.