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Finding the Fourth Proportional to 7,131.47, 10,689.50 and 2,970.36

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Solution

The fourth proportional to 7,131.47, 10,689.50 and 2,970.36 is: 4,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.47 : 10,689.50 = 2,970.36 : x
  2. Step 2: Convert to fraction form
    7,131.47/10,689.50 = 2,970.36/x
  3. Step 3: Cross multiply
    7,131.47x = 10,689.50 × 2,970.36
  4. Step 4: Simplify right side
    7,131.47x = 31,751,648.37
  5. Step 5: Solve for x
    x = 31,751,648.37/7,131.47
  6. Step 6: Final answer
    x = 4,452.33

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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.