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Finding the Fourth Proportional to 7,726.58, 11,595.15 and 4,266.26

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Solution

The fourth proportional to 7,726.58, 11,595.15 and 4,266.26 is: 6,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.58 : 11,595.15 = 4,266.26 : x
  2. Step 2: Convert to fraction form
    7,726.58/11,595.15 = 4,266.26/x
  3. Step 3: Cross multiply
    7,726.58x = 11,595.15 × 4,266.26
  4. Step 4: Simplify right side
    7,726.58x = 49,467,924.64
  5. Step 5: Solve for x
    x = 49,467,924.64/7,726.58
  6. Step 6: Final answer
    x = 6,402.31

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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.