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Finding the Fourth Proportional to 11,696, 17,547.04 and 3,488

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Solution

The fourth proportional to 11,696, 17,547.04 and 3,488 is: 5,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696 : 17,547.04 = 3,488 : x
  2. Step 2: Convert to fraction form
    11,696/17,547.04 = 3,488/x
  3. Step 3: Cross multiply
    11,696x = 17,547.04 × 3,488
  4. Step 4: Simplify right side
    11,696x = 61,204,075.52
  5. Step 5: Solve for x
    x = 61,204,075.52/11,696
  6. Step 6: Final answer
    x = 5,232.91

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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.