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Finding the Fourth Proportional to 13,753, 18,979.16 and 7,465.38

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Solution

The fourth proportional to 13,753, 18,979.16 and 7,465.38 is: 10,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753 : 18,979.16 = 7,465.38 : x
  2. Step 2: Convert to fraction form
    13,753/18,979.16 = 7,465.38/x
  3. Step 3: Cross multiply
    13,753x = 18,979.16 × 7,465.38
  4. Step 4: Simplify right side
    13,753x = 141,686,641.48
  5. Step 5: Solve for x
    x = 141,686,641.48/13,753
  6. Step 6: Final answer
    x = 10,302.24

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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.