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Finding the Fourth Proportional to 7,612.47, 11,464.92 and 6,700.05

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Solution

The fourth proportional to 7,612.47, 11,464.92 and 6,700.05 is: 10,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.47 : 11,464.92 = 6,700.05 : x
  2. Step 2: Convert to fraction form
    7,612.47/11,464.92 = 6,700.05/x
  3. Step 3: Cross multiply
    7,612.47x = 11,464.92 × 6,700.05
  4. Step 4: Simplify right side
    7,612.47x = 76,815,537.25
  5. Step 5: Solve for x
    x = 76,815,537.25/7,612.47
  6. Step 6: Final answer
    x = 10,090.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.