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Finding the Fourth Proportional to 10,804.48, 14,896.56 and 7,448.56

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Solution

The fourth proportional to 10,804.48, 14,896.56 and 7,448.56 is: 10,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.48 : 14,896.56 = 7,448.56 : x
  2. Step 2: Convert to fraction form
    10,804.48/14,896.56 = 7,448.56/x
  3. Step 3: Cross multiply
    10,804.48x = 14,896.56 × 7,448.56
  4. Step 4: Simplify right side
    10,804.48x = 110,957,920.95
  5. Step 5: Solve for x
    x = 110,957,920.95/10,804.48
  6. Step 6: Final answer
    x = 10,269.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.