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Finding the Fourth Proportional to 12,576.11, 17,356.53 and 7,543.10

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Solution

The fourth proportional to 12,576.11, 17,356.53 and 7,543.10 is: 10,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.11 : 17,356.53 = 7,543.10 : x
  2. Step 2: Convert to fraction form
    12,576.11/17,356.53 = 7,543.10/x
  3. Step 3: Cross multiply
    12,576.11x = 17,356.53 × 7,543.10
  4. Step 4: Simplify right side
    12,576.11x = 130,922,041.44
  5. Step 5: Solve for x
    x = 130,922,041.44/12,576.11
  6. Step 6: Final answer
    x = 10,410.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.