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Finding the Fourth Proportional to 10,438.10, 15,655.44 and 3,418.01

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Solution

The fourth proportional to 10,438.10, 15,655.44 and 3,418.01 is: 5,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.10 : 15,655.44 = 3,418.01 : x
  2. Step 2: Convert to fraction form
    10,438.10/15,655.44 = 3,418.01/x
  3. Step 3: Cross multiply
    10,438.10x = 15,655.44 × 3,418.01
  4. Step 4: Simplify right side
    10,438.10x = 53,510,531.78
  5. Step 5: Solve for x
    x = 53,510,531.78/10,438.10
  6. Step 6: Final answer
    x = 5,126.46

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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.