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Finding the Fourth Proportional to 7,903.94, 11,857.62 and 2,357.74

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Solution

The fourth proportional to 7,903.94, 11,857.62 and 2,357.74 is: 3,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.94 : 11,857.62 = 2,357.74 : x
  2. Step 2: Convert to fraction form
    7,903.94/11,857.62 = 2,357.74/x
  3. Step 3: Cross multiply
    7,903.94x = 11,857.62 × 2,357.74
  4. Step 4: Simplify right side
    7,903.94x = 27,957,184.98
  5. Step 5: Solve for x
    x = 27,957,184.98/7,903.94
  6. Step 6: Final answer
    x = 3,537.12

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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.