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Finding the Fourth Proportional to 12,078.30, 18,088.65 and 7,412.70

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Solution

The fourth proportional to 12,078.30, 18,088.65 and 7,412.70 is: 11,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.30 : 18,088.65 = 7,412.70 : x
  2. Step 2: Convert to fraction form
    12,078.30/18,088.65 = 7,412.70/x
  3. Step 3: Cross multiply
    12,078.30x = 18,088.65 × 7,412.70
  4. Step 4: Simplify right side
    12,078.30x = 134,085,735.86
  5. Step 5: Solve for x
    x = 134,085,735.86/12,078.30
  6. Step 6: Final answer
    x = 11,101.37

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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.