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Finding the Fourth Proportional to 18,585.11, 27,874.16 and 5,258

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Solution

The fourth proportional to 18,585.11, 27,874.16 and 5,258 is: 7,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.11 : 27,874.16 = 5,258 : x
  2. Step 2: Convert to fraction form
    18,585.11/27,874.16 = 5,258/x
  3. Step 3: Cross multiply
    18,585.11x = 27,874.16 × 5,258
  4. Step 4: Simplify right side
    18,585.11x = 146,562,333.28
  5. Step 5: Solve for x
    x = 146,562,333.28/18,585.11
  6. Step 6: Final answer
    x = 7,886.01

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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.