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Finding the Fourth Proportional to 13,116.77, 18,100.61 and 7,148.31

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Solution

The fourth proportional to 13,116.77, 18,100.61 and 7,148.31 is: 9,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.77 : 18,100.61 = 7,148.31 : x
  2. Step 2: Convert to fraction form
    13,116.77/18,100.61 = 7,148.31/x
  3. Step 3: Cross multiply
    13,116.77x = 18,100.61 × 7,148.31
  4. Step 4: Simplify right side
    13,116.77x = 129,388,771.47
  5. Step 5: Solve for x
    x = 129,388,771.47/13,116.77
  6. Step 6: Final answer
    x = 9,864.38

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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.