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Finding the Fourth Proportional to 11,412.36, 17,113.68 and 4,482

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Solution

The fourth proportional to 11,412.36, 17,113.68 and 4,482 is: 6,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.36 : 17,113.68 = 4,482 : x
  2. Step 2: Convert to fraction form
    11,412.36/17,113.68 = 4,482/x
  3. Step 3: Cross multiply
    11,412.36x = 17,113.68 × 4,482
  4. Step 4: Simplify right side
    11,412.36x = 76,703,513.76
  5. Step 5: Solve for x
    x = 76,703,513.76/11,412.36
  6. Step 6: Final answer
    x = 6,721.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.