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Finding the Fourth Proportional to 27,078.16, 40,618.08 and 7,356.64

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Solution

The fourth proportional to 27,078.16, 40,618.08 and 7,356.64 is: 11,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.16 : 40,618.08 = 7,356.64 : x
  2. Step 2: Convert to fraction form
    27,078.16/40,618.08 = 7,356.64/x
  3. Step 3: Cross multiply
    27,078.16x = 40,618.08 × 7,356.64
  4. Step 4: Simplify right side
    27,078.16x = 298,812,592.05
  5. Step 5: Solve for x
    x = 298,812,592.05/27,078.16
  6. Step 6: Final answer
    x = 11,035.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.