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Finding the Fourth Proportional to 11,525.85, 17,289.06 and 4,130.82

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Solution

The fourth proportional to 11,525.85, 17,289.06 and 4,130.82 is: 6,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.85 : 17,289.06 = 4,130.82 : x
  2. Step 2: Convert to fraction form
    11,525.85/17,289.06 = 4,130.82/x
  3. Step 3: Cross multiply
    11,525.85x = 17,289.06 × 4,130.82
  4. Step 4: Simplify right side
    11,525.85x = 71,417,994.83
  5. Step 5: Solve for x
    x = 71,417,994.83/11,525.85
  6. Step 6: Final answer
    x = 6,196.33

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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.