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Finding the Fourth Proportional to 11,346.86, 15,662.07 and 7,368.54

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Solution

The fourth proportional to 11,346.86, 15,662.07 and 7,368.54 is: 10,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.86 : 15,662.07 = 7,368.54 : x
  2. Step 2: Convert to fraction form
    11,346.86/15,662.07 = 7,368.54/x
  3. Step 3: Cross multiply
    11,346.86x = 15,662.07 × 7,368.54
  4. Step 4: Simplify right side
    11,346.86x = 115,406,589.28
  5. Step 5: Solve for x
    x = 115,406,589.28/11,346.86
  6. Step 6: Final answer
    x = 10,170.80

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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.