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Finding the Fourth Proportional to 11,461.79, 17,187 and 4,065.14

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Solution

The fourth proportional to 11,461.79, 17,187 and 4,065.14 is: 6,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.79 : 17,187 = 4,065.14 : x
  2. Step 2: Convert to fraction form
    11,461.79/17,187 = 4,065.14/x
  3. Step 3: Cross multiply
    11,461.79x = 17,187 × 4,065.14
  4. Step 4: Simplify right side
    11,461.79x = 69,867,561.18
  5. Step 5: Solve for x
    x = 69,867,561.18/11,461.79
  6. Step 6: Final answer
    x = 6,095.69

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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.