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Finding the Fourth Proportional to 11,410.58, 17,101.74 and 6,465.23

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Solution

The fourth proportional to 11,410.58, 17,101.74 and 6,465.23 is: 9,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.58 : 17,101.74 = 6,465.23 : x
  2. Step 2: Convert to fraction form
    11,410.58/17,101.74 = 6,465.23/x
  3. Step 3: Cross multiply
    11,410.58x = 17,101.74 × 6,465.23
  4. Step 4: Simplify right side
    11,410.58x = 110,566,682.50
  5. Step 5: Solve for x
    x = 110,566,682.50/11,410.58
  6. Step 6: Final answer
    x = 9,689.84

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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.