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Finding the Fourth Proportional to 8,514.90, 11,750.60 and 4,738.40

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Solution

The fourth proportional to 8,514.90, 11,750.60 and 4,738.40 is: 6,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.90 : 11,750.60 = 4,738.40 : x
  2. Step 2: Convert to fraction form
    8,514.90/11,750.60 = 4,738.40/x
  3. Step 3: Cross multiply
    8,514.90x = 11,750.60 × 4,738.40
  4. Step 4: Simplify right side
    8,514.90x = 55,679,043.04
  5. Step 5: Solve for x
    x = 55,679,043.04/8,514.90
  6. Step 6: Final answer
    x = 6,539.01

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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.