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Finding the Fourth Proportional to 13,807.28, 19,053.38 and 7,838.15

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Solution

The fourth proportional to 13,807.28, 19,053.38 and 7,838.15 is: 10,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.28 : 19,053.38 = 7,838.15 : x
  2. Step 2: Convert to fraction form
    13,807.28/19,053.38 = 7,838.15/x
  3. Step 3: Cross multiply
    13,807.28x = 19,053.38 × 7,838.15
  4. Step 4: Simplify right side
    13,807.28x = 149,343,174.78
  5. Step 5: Solve for x
    x = 149,343,174.78/13,807.28
  6. Step 6: Final answer
    x = 10,816.26

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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.