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Finding the Fourth Proportional to 7,870.36, 11,802.50 and 3,189.18

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Solution

The fourth proportional to 7,870.36, 11,802.50 and 3,189.18 is: 4,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.36 : 11,802.50 = 3,189.18 : x
  2. Step 2: Convert to fraction form
    7,870.36/11,802.50 = 3,189.18/x
  3. Step 3: Cross multiply
    7,870.36x = 11,802.50 × 3,189.18
  4. Step 4: Simplify right side
    7,870.36x = 37,640,296.95
  5. Step 5: Solve for x
    x = 37,640,296.95/7,870.36
  6. Step 6: Final answer
    x = 4,782.54

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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.