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Finding the Fourth Proportional to 7,877.49, 11,813.07 and 3,925.87

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Solution

The fourth proportional to 7,877.49, 11,813.07 and 3,925.87 is: 5,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.49 : 11,813.07 = 3,925.87 : x
  2. Step 2: Convert to fraction form
    7,877.49/11,813.07 = 3,925.87/x
  3. Step 3: Cross multiply
    7,877.49x = 11,813.07 × 3,925.87
  4. Step 4: Simplify right side
    7,877.49x = 46,376,562.31
  5. Step 5: Solve for x
    x = 46,376,562.31/7,877.49
  6. Step 6: Final answer
    x = 5,887.23

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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.