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Finding the Fourth Proportional to 7,726.86, 10,663.05 and 4,190.06

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Solution

The fourth proportional to 7,726.86, 10,663.05 and 4,190.06 is: 5,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.86 : 10,663.05 = 4,190.06 : x
  2. Step 2: Convert to fraction form
    7,726.86/10,663.05 = 4,190.06/x
  3. Step 3: Cross multiply
    7,726.86x = 10,663.05 × 4,190.06
  4. Step 4: Simplify right side
    7,726.86x = 44,678,819.28
  5. Step 5: Solve for x
    x = 44,678,819.28/7,726.86
  6. Step 6: Final answer
    x = 5,782.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.