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Finding the Fourth Proportional to 7,123.82, 10,674.14 and 4,342.03

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Solution

The fourth proportional to 7,123.82, 10,674.14 and 4,342.03 is: 6,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.82 : 10,674.14 = 4,342.03 : x
  2. Step 2: Convert to fraction form
    7,123.82/10,674.14 = 4,342.03/x
  3. Step 3: Cross multiply
    7,123.82x = 10,674.14 × 4,342.03
  4. Step 4: Simplify right side
    7,123.82x = 46,347,387.71
  5. Step 5: Solve for x
    x = 46,347,387.71/7,123.82
  6. Step 6: Final answer
    x = 6,505.98

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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.