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Finding the Fourth Proportional to 11,683.69, 17,549.12 and 7,012.58

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Solution

The fourth proportional to 11,683.69, 17,549.12 and 7,012.58 is: 10,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.69 : 17,549.12 = 7,012.58 : x
  2. Step 2: Convert to fraction form
    11,683.69/17,549.12 = 7,012.58/x
  3. Step 3: Cross multiply
    11,683.69x = 17,549.12 × 7,012.58
  4. Step 4: Simplify right side
    11,683.69x = 123,064,537.72
  5. Step 5: Solve for x
    x = 123,064,537.72/11,683.69
  6. Step 6: Final answer
    x = 10,533.02

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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.