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Finding the Fourth Proportional to 7,610.31, 10,507.46 and 4,962.33

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Solution

The fourth proportional to 7,610.31, 10,507.46 and 4,962.33 is: 6,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.31 : 10,507.46 = 4,962.33 : x
  2. Step 2: Convert to fraction form
    7,610.31/10,507.46 = 4,962.33/x
  3. Step 3: Cross multiply
    7,610.31x = 10,507.46 × 4,962.33
  4. Step 4: Simplify right side
    7,610.31x = 52,141,459.17
  5. Step 5: Solve for x
    x = 52,141,459.17/7,610.31
  6. Step 6: Final answer
    x = 6,851.42

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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.