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Finding the Fourth Proportional to 7,875.42, 11,806.43 and 3,490.49

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Solution

The fourth proportional to 7,875.42, 11,806.43 and 3,490.49 is: 5,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.42 : 11,806.43 = 3,490.49 : x
  2. Step 2: Convert to fraction form
    7,875.42/11,806.43 = 3,490.49/x
  3. Step 3: Cross multiply
    7,875.42x = 11,806.43 × 3,490.49
  4. Step 4: Simplify right side
    7,875.42x = 41,210,149.37
  5. Step 5: Solve for x
    x = 41,210,149.37/7,875.42
  6. Step 6: Final answer
    x = 5,232.76

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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.