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Finding the Fourth Proportional to 8,434.98, 12,655.40 and 3,758.31

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Solution

The fourth proportional to 8,434.98, 12,655.40 and 3,758.31 is: 5,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.98 : 12,655.40 = 3,758.31 : x
  2. Step 2: Convert to fraction form
    8,434.98/12,655.40 = 3,758.31/x
  3. Step 3: Cross multiply
    8,434.98x = 12,655.40 × 3,758.31
  4. Step 4: Simplify right side
    8,434.98x = 47,562,916.37
  5. Step 5: Solve for x
    x = 47,562,916.37/8,434.98
  6. Step 6: Final answer
    x = 5,638.77

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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.