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Finding the Fourth Proportional to 13,792.63, 19,034.13 and 7,505

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Solution

The fourth proportional to 13,792.63, 19,034.13 and 7,505 is: 10,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.63 : 19,034.13 = 7,505 : x
  2. Step 2: Convert to fraction form
    13,792.63/19,034.13 = 7,505/x
  3. Step 3: Cross multiply
    13,792.63x = 19,034.13 × 7,505
  4. Step 4: Simplify right side
    13,792.63x = 142,851,145.65
  5. Step 5: Solve for x
    x = 142,851,145.65/13,792.63
  6. Step 6: Final answer
    x = 10,357.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.