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Finding the Fourth Proportional to 10,804.81, 14,923.06 and 7,213.52

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Solution

The fourth proportional to 10,804.81, 14,923.06 and 7,213.52 is: 9,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.81 : 14,923.06 = 7,213.52 : x
  2. Step 2: Convert to fraction form
    10,804.81/14,923.06 = 7,213.52/x
  3. Step 3: Cross multiply
    10,804.81x = 14,923.06 × 7,213.52
  4. Step 4: Simplify right side
    10,804.81x = 107,647,791.77
  5. Step 5: Solve for x
    x = 107,647,791.77/10,804.81
  6. Step 6: Final answer
    x = 9,962.95

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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.