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Finding the Fourth Proportional to 10,624.83, 14,644.20 and 7,261.82

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Solution

The fourth proportional to 10,624.83, 14,644.20 and 7,261.82 is: 10,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.83 : 14,644.20 = 7,261.82 : x
  2. Step 2: Convert to fraction form
    10,624.83/14,644.20 = 7,261.82/x
  3. Step 3: Cross multiply
    10,624.83x = 14,644.20 × 7,261.82
  4. Step 4: Simplify right side
    10,624.83x = 106,343,471.22
  5. Step 5: Solve for x
    x = 106,343,471.22/10,624.83
  6. Step 6: Final answer
    x = 10,008.96

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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.