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Finding the Fourth Proportional to 11,292.85, 15,582.78 and 6,514.36

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Solution

The fourth proportional to 11,292.85, 15,582.78 and 6,514.36 is: 8,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.85 : 15,582.78 = 6,514.36 : x
  2. Step 2: Convert to fraction form
    11,292.85/15,582.78 = 6,514.36/x
  3. Step 3: Cross multiply
    11,292.85x = 15,582.78 × 6,514.36
  4. Step 4: Simplify right side
    11,292.85x = 101,511,799.76
  5. Step 5: Solve for x
    x = 101,511,799.76/11,292.85
  6. Step 6: Final answer
    x = 8,989.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.