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Finding the Fourth Proportional to 10,415.95, 15,626.40 and 3,396.01

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Solution

The fourth proportional to 10,415.95, 15,626.40 and 3,396.01 is: 5,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.95 : 15,626.40 = 3,396.01 : x
  2. Step 2: Convert to fraction form
    10,415.95/15,626.40 = 3,396.01/x
  3. Step 3: Cross multiply
    10,415.95x = 15,626.40 × 3,396.01
  4. Step 4: Simplify right side
    10,415.95x = 53,067,410.66
  5. Step 5: Solve for x
    x = 53,067,410.66/10,415.95
  6. Step 6: Final answer
    x = 5,094.82

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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.