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Finding the Fourth Proportional to 12,053.82, 18,083.46 and 6,507.06

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Solution

The fourth proportional to 12,053.82, 18,083.46 and 6,507.06 is: 9,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.82 : 18,083.46 = 6,507.06 : x
  2. Step 2: Convert to fraction form
    12,053.82/18,083.46 = 6,507.06/x
  3. Step 3: Cross multiply
    12,053.82x = 18,083.46 × 6,507.06
  4. Step 4: Simplify right side
    12,053.82x = 117,670,159.23
  5. Step 5: Solve for x
    x = 117,670,159.23/12,053.82
  6. Step 6: Final answer
    x = 9,762.06

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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.