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Finding the Fourth Proportional to 7,638.04, 11,461.32 and 4,127.98

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Solution

The fourth proportional to 7,638.04, 11,461.32 and 4,127.98 is: 6,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.04 : 11,461.32 = 4,127.98 : x
  2. Step 2: Convert to fraction form
    7,638.04/11,461.32 = 4,127.98/x
  3. Step 3: Cross multiply
    7,638.04x = 11,461.32 × 4,127.98
  4. Step 4: Simplify right side
    7,638.04x = 47,312,099.73
  5. Step 5: Solve for x
    x = 47,312,099.73/7,638.04
  6. Step 6: Final answer
    x = 6,194.27

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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.