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Finding the Fourth Proportional to 7,514.64, 11,274.84 and 2,898

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Solution

The fourth proportional to 7,514.64, 11,274.84 and 2,898 is: 4,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.64 : 11,274.84 = 2,898 : x
  2. Step 2: Convert to fraction form
    7,514.64/11,274.84 = 2,898/x
  3. Step 3: Cross multiply
    7,514.64x = 11,274.84 × 2,898
  4. Step 4: Simplify right side
    7,514.64x = 32,674,486.32
  5. Step 5: Solve for x
    x = 32,674,486.32/7,514.64
  6. Step 6: Final answer
    x = 4,348.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.