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Finding the Fourth Proportional to 7,637.80, 11,461.12 and 4,127.88

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Solution

The fourth proportional to 7,637.80, 11,461.12 and 4,127.88 is: 6,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.80 : 11,461.12 = 4,127.88 : x
  2. Step 2: Convert to fraction form
    7,637.80/11,461.12 = 4,127.88/x
  3. Step 3: Cross multiply
    7,637.80x = 11,461.12 × 4,127.88
  4. Step 4: Simplify right side
    7,637.80x = 47,310,128.03
  5. Step 5: Solve for x
    x = 47,310,128.03/7,637.80
  6. Step 6: Final answer
    x = 6,194.21

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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.