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Finding the Fourth Proportional to 11,547.65, 17,323.29 and 3,754.64

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Solution

The fourth proportional to 11,547.65, 17,323.29 and 3,754.64 is: 5,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.65 : 17,323.29 = 3,754.64 : x
  2. Step 2: Convert to fraction form
    11,547.65/17,323.29 = 3,754.64/x
  3. Step 3: Cross multiply
    11,547.65x = 17,323.29 × 3,754.64
  4. Step 4: Simplify right side
    11,547.65x = 65,042,717.57
  5. Step 5: Solve for x
    x = 65,042,717.57/11,547.65
  6. Step 6: Final answer
    x = 5,632.55

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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.