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Finding the Fourth Proportional to 11,763.34, 17,619.08 and 7,136.62

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Solution

The fourth proportional to 11,763.34, 17,619.08 and 7,136.62 is: 10,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.34 : 17,619.08 = 7,136.62 : x
  2. Step 2: Convert to fraction form
    11,763.34/17,619.08 = 7,136.62/x
  3. Step 3: Cross multiply
    11,763.34x = 17,619.08 × 7,136.62
  4. Step 4: Simplify right side
    11,763.34x = 125,740,678.71
  5. Step 5: Solve for x
    x = 125,740,678.71/11,763.34
  6. Step 6: Final answer
    x = 10,689.20

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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.