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Finding the Fourth Proportional to 11,914.89, 17,870.16 and 4,516.89

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Solution

The fourth proportional to 11,914.89, 17,870.16 and 4,516.89 is: 6,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.89 : 17,870.16 = 4,516.89 : x
  2. Step 2: Convert to fraction form
    11,914.89/17,870.16 = 4,516.89/x
  3. Step 3: Cross multiply
    11,914.89x = 17,870.16 × 4,516.89
  4. Step 4: Simplify right side
    11,914.89x = 80,717,547.00
  5. Step 5: Solve for x
    x = 80,717,547.00/11,914.89
  6. Step 6: Final answer
    x = 6,774.51

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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.