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Finding the Fourth Proportional to 11,783.14, 17,668.95 and 6,587.62

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Solution

The fourth proportional to 11,783.14, 17,668.95 and 6,587.62 is: 9,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.14 : 17,668.95 = 6,587.62 : x
  2. Step 2: Convert to fraction form
    11,783.14/17,668.95 = 6,587.62/x
  3. Step 3: Cross multiply
    11,783.14x = 17,668.95 × 6,587.62
  4. Step 4: Simplify right side
    11,783.14x = 116,396,328.40
  5. Step 5: Solve for x
    x = 116,396,328.40/11,783.14
  6. Step 6: Final answer
    x = 9,878.21

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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.