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Finding the Fourth Proportional to 11,880.08, 17,814.93 and 5,641.88

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Solution

The fourth proportional to 11,880.08, 17,814.93 and 5,641.88 is: 8,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.08 : 17,814.93 = 5,641.88 : x
  2. Step 2: Convert to fraction form
    11,880.08/17,814.93 = 5,641.88/x
  3. Step 3: Cross multiply
    11,880.08x = 17,814.93 × 5,641.88
  4. Step 4: Simplify right side
    11,880.08x = 100,509,697.27
  5. Step 5: Solve for x
    x = 100,509,697.27/11,880.08
  6. Step 6: Final answer
    x = 8,460.36

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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.