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Finding the Fourth Proportional to 7,546.40, 11,259.04 and 6,714.80

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Solution

The fourth proportional to 7,546.40, 11,259.04 and 6,714.80 is: 10,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.40 : 11,259.04 = 6,714.80 : x
  2. Step 2: Convert to fraction form
    7,546.40/11,259.04 = 6,714.80/x
  3. Step 3: Cross multiply
    7,546.40x = 11,259.04 × 6,714.80
  4. Step 4: Simplify right side
    7,546.40x = 75,602,201.79
  5. Step 5: Solve for x
    x = 75,602,201.79/7,546.40
  6. Step 6: Final answer
    x = 10,018.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.