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Finding the Fourth Proportional to 11,442.66, 17,168.10 and 7,055.02

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Solution

The fourth proportional to 11,442.66, 17,168.10 and 7,055.02 is: 10,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.66 : 17,168.10 = 7,055.02 : x
  2. Step 2: Convert to fraction form
    11,442.66/17,168.10 = 7,055.02/x
  3. Step 3: Cross multiply
    11,442.66x = 17,168.10 × 7,055.02
  4. Step 4: Simplify right side
    11,442.66x = 121,121,288.86
  5. Step 5: Solve for x
    x = 121,121,288.86/11,442.66
  6. Step 6: Final answer
    x = 10,585.06

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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.