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Finding the Fourth Proportional to 11,659.90, 17,477.70 and 6,386.80

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Solution

The fourth proportional to 11,659.90, 17,477.70 and 6,386.80 is: 9,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.90 : 17,477.70 = 6,386.80 : x
  2. Step 2: Convert to fraction form
    11,659.90/17,477.70 = 6,386.80/x
  3. Step 3: Cross multiply
    11,659.90x = 17,477.70 × 6,386.80
  4. Step 4: Simplify right side
    11,659.90x = 111,626,574.36
  5. Step 5: Solve for x
    x = 111,626,574.36/11,659.90
  6. Step 6: Final answer
    x = 9,573.54

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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.