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Finding the Fourth Proportional to 8,030.68, 11,987.21 and 7,083.80

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Solution

The fourth proportional to 8,030.68, 11,987.21 and 7,083.80 is: 10,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.68 : 11,987.21 = 7,083.80 : x
  2. Step 2: Convert to fraction form
    8,030.68/11,987.21 = 7,083.80/x
  3. Step 3: Cross multiply
    8,030.68x = 11,987.21 × 7,083.80
  4. Step 4: Simplify right side
    8,030.68x = 84,914,962.78
  5. Step 5: Solve for x
    x = 84,914,962.78/8,030.68
  6. Step 6: Final answer
    x = 10,573.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.