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Finding the Fourth Proportional to 11,779.86, 17,668.44 and 7,383.90

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Solution

The fourth proportional to 11,779.86, 17,668.44 and 7,383.90 is: 11,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.86 : 17,668.44 = 7,383.90 : x
  2. Step 2: Convert to fraction form
    11,779.86/17,668.44 = 7,383.90/x
  3. Step 3: Cross multiply
    11,779.86x = 17,668.44 × 7,383.90
  4. Step 4: Simplify right side
    11,779.86x = 130,461,994.12
  5. Step 5: Solve for x
    x = 130,461,994.12/11,779.86
  6. Step 6: Final answer
    x = 11,075.00

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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.