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Finding the Fourth Proportional to 11,698.08, 17,530.53 and 9,053.27

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Solution

The fourth proportional to 11,698.08, 17,530.53 and 9,053.27 is: 13,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.08 : 17,530.53 = 9,053.27 : x
  2. Step 2: Convert to fraction form
    11,698.08/17,530.53 = 9,053.27/x
  3. Step 3: Cross multiply
    11,698.08x = 17,530.53 × 9,053.27
  4. Step 4: Simplify right side
    11,698.08x = 158,708,664.08
  5. Step 5: Solve for x
    x = 158,708,664.08/11,698.08
  6. Step 6: Final answer
    x = 13,567.07

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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.