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Finding the Fourth Proportional to 7,461.76, 10,262.82 and 6,266.20

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Solution

The fourth proportional to 7,461.76, 10,262.82 and 6,266.20 is: 8,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.76 : 10,262.82 = 6,266.20 : x
  2. Step 2: Convert to fraction form
    7,461.76/10,262.82 = 6,266.20/x
  3. Step 3: Cross multiply
    7,461.76x = 10,262.82 × 6,266.20
  4. Step 4: Simplify right side
    7,461.76x = 64,308,882.68
  5. Step 5: Solve for x
    x = 64,308,882.68/7,461.76
  6. Step 6: Final answer
    x = 8,618.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.