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Finding the Fourth Proportional to 11,980.40, 17,954.19 and 7,590.06

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Solution

The fourth proportional to 11,980.40, 17,954.19 and 7,590.06 is: 11,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.40 : 17,954.19 = 7,590.06 : x
  2. Step 2: Convert to fraction form
    11,980.40/17,954.19 = 7,590.06/x
  3. Step 3: Cross multiply
    11,980.40x = 17,954.19 × 7,590.06
  4. Step 4: Simplify right side
    11,980.40x = 136,273,379.35
  5. Step 5: Solve for x
    x = 136,273,379.35/11,980.40
  6. Step 6: Final answer
    x = 11,374.69

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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.