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Finding the Fourth Proportional to 10,431.95, 15,642.72 and 3,411.05

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Solution

The fourth proportional to 10,431.95, 15,642.72 and 3,411.05 is: 5,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.95 : 15,642.72 = 3,411.05 : x
  2. Step 2: Convert to fraction form
    10,431.95/15,642.72 = 3,411.05/x
  3. Step 3: Cross multiply
    10,431.95x = 15,642.72 × 3,411.05
  4. Step 4: Simplify right side
    10,431.95x = 53,358,021.84
  5. Step 5: Solve for x
    x = 53,358,021.84/10,431.95
  6. Step 6: Final answer
    x = 5,114.87

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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.