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Finding the Fourth Proportional to 11,152.94, 15,371.04 and 9,157.10

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Solution

The fourth proportional to 11,152.94, 15,371.04 and 9,157.10 is: 12,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.94 : 15,371.04 = 9,157.10 : x
  2. Step 2: Convert to fraction form
    11,152.94/15,371.04 = 9,157.10/x
  3. Step 3: Cross multiply
    11,152.94x = 15,371.04 × 9,157.10
  4. Step 4: Simplify right side
    11,152.94x = 140,754,150.38
  5. Step 5: Solve for x
    x = 140,754,150.38/11,152.94
  6. Step 6: Final answer
    x = 12,620.36

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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.