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Finding the Fourth Proportional to 7,376.14, 10,189.02 and 6,851.26

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Solution

The fourth proportional to 7,376.14, 10,189.02 and 6,851.26 is: 9,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.14 : 10,189.02 = 6,851.26 : x
  2. Step 2: Convert to fraction form
    7,376.14/10,189.02 = 6,851.26/x
  3. Step 3: Cross multiply
    7,376.14x = 10,189.02 × 6,851.26
  4. Step 4: Simplify right side
    7,376.14x = 69,807,625.17
  5. Step 5: Solve for x
    x = 69,807,625.17/7,376.14
  6. Step 6: Final answer
    x = 9,463.98

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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.