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Finding the Fourth Proportional to 8,675.89, 13,019.02 and 7,970.07

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Solution

The fourth proportional to 8,675.89, 13,019.02 and 7,970.07 is: 11,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.89 : 13,019.02 = 7,970.07 : x
  2. Step 2: Convert to fraction form
    8,675.89/13,019.02 = 7,970.07/x
  3. Step 3: Cross multiply
    8,675.89x = 13,019.02 × 7,970.07
  4. Step 4: Simplify right side
    8,675.89x = 103,762,556.15
  5. Step 5: Solve for x
    x = 103,762,556.15/8,675.89
  6. Step 6: Final answer
    x = 11,959.87

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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.