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Finding the Fourth Proportional to 13,792.80, 19,034 and 7,505.12

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Solution

The fourth proportional to 13,792.80, 19,034 and 7,505.12 is: 10,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.80 : 19,034 = 7,505.12 : x
  2. Step 2: Convert to fraction form
    13,792.80/19,034 = 7,505.12/x
  3. Step 3: Cross multiply
    13,792.80x = 19,034 × 7,505.12
  4. Step 4: Simplify right side
    13,792.80x = 142,852,454.08
  5. Step 5: Solve for x
    x = 142,852,454.08/13,792.80
  6. Step 6: Final answer
    x = 10,357.03

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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.