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Finding the Fourth Proportional to 11,835.43, 17,741.16 and 7,678.08

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Solution

The fourth proportional to 11,835.43, 17,741.16 and 7,678.08 is: 11,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.43 : 17,741.16 = 7,678.08 : x
  2. Step 2: Convert to fraction form
    11,835.43/17,741.16 = 7,678.08/x
  3. Step 3: Cross multiply
    11,835.43x = 17,741.16 × 7,678.08
  4. Step 4: Simplify right side
    11,835.43x = 136,218,045.77
  5. Step 5: Solve for x
    x = 136,218,045.77/11,835.43
  6. Step 6: Final answer
    x = 11,509.34

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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.