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Finding the Fourth Proportional to 13,792.69, 19,034 and 7,505.11

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Solution

The fourth proportional to 13,792.69, 19,034 and 7,505.11 is: 10,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.69 : 19,034 = 7,505.11 : x
  2. Step 2: Convert to fraction form
    13,792.69/19,034 = 7,505.11/x
  3. Step 3: Cross multiply
    13,792.69x = 19,034 × 7,505.11
  4. Step 4: Simplify right side
    13,792.69x = 142,852,263.74
  5. Step 5: Solve for x
    x = 142,852,263.74/13,792.69
  6. Step 6: Final answer
    x = 10,357.10

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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.