Home / 10,206.82-15,311.47-7,577.58

Finding the Fourth Proportional to 10,206.82, 15,311.47 and 7,577.58

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Solution

The fourth proportional to 10,206.82, 15,311.47 and 7,577.58 is: 11,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.82 : 15,311.47 = 7,577.58 : x
  2. Step 2: Convert to fraction form
    10,206.82/15,311.47 = 7,577.58/x
  3. Step 3: Cross multiply
    10,206.82x = 15,311.47 × 7,577.58
  4. Step 4: Simplify right side
    10,206.82x = 116,023,888.84
  5. Step 5: Solve for x
    x = 116,023,888.84/10,206.82
  6. Step 6: Final answer
    x = 11,367.29

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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.