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Finding the Fourth Proportional to 10,966.63, 16,452.11 and 4,041.19

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Solution

The fourth proportional to 10,966.63, 16,452.11 and 4,041.19 is: 6,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.63 : 16,452.11 = 4,041.19 : x
  2. Step 2: Convert to fraction form
    10,966.63/16,452.11 = 4,041.19/x
  3. Step 3: Cross multiply
    10,966.63x = 16,452.11 × 4,041.19
  4. Step 4: Simplify right side
    10,966.63x = 66,486,102.41
  5. Step 5: Solve for x
    x = 66,486,102.41/10,966.63
  6. Step 6: Final answer
    x = 6,062.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.