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Finding the Fourth Proportional to 7,726.99, 10,663.14 and 4,190.18

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Solution

The fourth proportional to 7,726.99, 10,663.14 and 4,190.18 is: 5,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.99 : 10,663.14 = 4,190.18 : x
  2. Step 2: Convert to fraction form
    7,726.99/10,663.14 = 4,190.18/x
  3. Step 3: Cross multiply
    7,726.99x = 10,663.14 × 4,190.18
  4. Step 4: Simplify right side
    7,726.99x = 44,680,486.44
  5. Step 5: Solve for x
    x = 44,680,486.44/7,726.99
  6. Step 6: Final answer
    x = 5,782.39

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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.