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Finding the Fourth Proportional to 11,054.30, 15,514.90 and 11,054.30

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Solution

The fourth proportional to 11,054.30, 15,514.90 and 11,054.30 is: 15,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.30 : 15,514.90 = 11,054.30 : x
  2. Step 2: Convert to fraction form
    11,054.30/15,514.90 = 11,054.30/x
  3. Step 3: Cross multiply
    11,054.30x = 15,514.90 × 11,054.30
  4. Step 4: Simplify right side
    11,054.30x = 171,506,359.07
  5. Step 5: Solve for x
    x = 171,506,359.07/11,054.30
  6. Step 6: Final answer
    x = 15,514.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.