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Finding the Fourth Proportional to 7,646.02, 11,470.09 and 2,714.49

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Solution

The fourth proportional to 7,646.02, 11,470.09 and 2,714.49 is: 4,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.02 : 11,470.09 = 2,714.49 : x
  2. Step 2: Convert to fraction form
    7,646.02/11,470.09 = 2,714.49/x
  3. Step 3: Cross multiply
    7,646.02x = 11,470.09 × 2,714.49
  4. Step 4: Simplify right side
    7,646.02x = 31,135,444.60
  5. Step 5: Solve for x
    x = 31,135,444.60/7,646.02
  6. Step 6: Final answer
    x = 4,072.11

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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.