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Finding the Fourth Proportional to 8,053.34, 12,071.14 and 6,072.61

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Solution

The fourth proportional to 8,053.34, 12,071.14 and 6,072.61 is: 9,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.34 : 12,071.14 = 6,072.61 : x
  2. Step 2: Convert to fraction form
    8,053.34/12,071.14 = 6,072.61/x
  3. Step 3: Cross multiply
    8,053.34x = 12,071.14 × 6,072.61
  4. Step 4: Simplify right side
    8,053.34x = 73,303,325.48
  5. Step 5: Solve for x
    x = 73,303,325.48/8,053.34
  6. Step 6: Final answer
    x = 9,102.23

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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.