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Finding the Fourth Proportional to 11,590.90, 17,386.99 and 3,271.59

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Solution

The fourth proportional to 11,590.90, 17,386.99 and 3,271.59 is: 4,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.90 : 17,386.99 = 3,271.59 : x
  2. Step 2: Convert to fraction form
    11,590.90/17,386.99 = 3,271.59/x
  3. Step 3: Cross multiply
    11,590.90x = 17,386.99 × 3,271.59
  4. Step 4: Simplify right side
    11,590.90x = 56,883,094.44
  5. Step 5: Solve for x
    x = 56,883,094.44/11,590.90
  6. Step 6: Final answer
    x = 4,907.57

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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.