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Finding the Fourth Proportional to 10,394.36, 14,323.60 and 7,404.92

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Solution

The fourth proportional to 10,394.36, 14,323.60 and 7,404.92 is: 10,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.36 : 14,323.60 = 7,404.92 : x
  2. Step 2: Convert to fraction form
    10,394.36/14,323.60 = 7,404.92/x
  3. Step 3: Cross multiply
    10,394.36x = 14,323.60 × 7,404.92
  4. Step 4: Simplify right side
    10,394.36x = 106,065,112.11
  5. Step 5: Solve for x
    x = 106,065,112.11/10,394.36
  6. Step 6: Final answer
    x = 10,204.10

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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.