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Finding the Fourth Proportional to 7,726.40, 11,593.80 and 4,216.20

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Solution

The fourth proportional to 7,726.40, 11,593.80 and 4,216.20 is: 6,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.40 : 11,593.80 = 4,216.20 : x
  2. Step 2: Convert to fraction form
    7,726.40/11,593.80 = 4,216.20/x
  3. Step 3: Cross multiply
    7,726.40x = 11,593.80 × 4,216.20
  4. Step 4: Simplify right side
    7,726.40x = 48,881,779.56
  5. Step 5: Solve for x
    x = 48,881,779.56/7,726.40
  6. Step 6: Final answer
    x = 6,326.59

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