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Finding the Fourth Proportional to 7,032.13, 10,548.80 and 1,838

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Solution

The fourth proportional to 7,032.13, 10,548.80 and 1,838 is: 2,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.13 : 10,548.80 = 1,838 : x
  2. Step 2: Convert to fraction form
    7,032.13/10,548.80 = 1,838/x
  3. Step 3: Cross multiply
    7,032.13x = 10,548.80 × 1,838
  4. Step 4: Simplify right side
    7,032.13x = 19,388,694.40
  5. Step 5: Solve for x
    x = 19,388,694.40/7,032.13
  6. Step 6: Final answer
    x = 2,757.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.