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Finding the Fourth Proportional to 12,078.86, 16,668.99 and 7,298.14

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Solution

The fourth proportional to 12,078.86, 16,668.99 and 7,298.14 is: 10,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.86 : 16,668.99 = 7,298.14 : x
  2. Step 2: Convert to fraction form
    12,078.86/16,668.99 = 7,298.14/x
  3. Step 3: Cross multiply
    12,078.86x = 16,668.99 × 7,298.14
  4. Step 4: Simplify right side
    12,078.86x = 121,652,539.33
  5. Step 5: Solve for x
    x = 121,652,539.33/12,078.86
  6. Step 6: Final answer
    x = 10,071.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.