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Finding the Fourth Proportional to 10,784.59, 14,890.11 and 8,262.25

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Solution

The fourth proportional to 10,784.59, 14,890.11 and 8,262.25 is: 11,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.59 : 14,890.11 = 8,262.25 : x
  2. Step 2: Convert to fraction form
    10,784.59/14,890.11 = 8,262.25/x
  3. Step 3: Cross multiply
    10,784.59x = 14,890.11 × 8,262.25
  4. Step 4: Simplify right side
    10,784.59x = 123,025,811.35
  5. Step 5: Solve for x
    x = 123,025,811.35/10,784.59
  6. Step 6: Final answer
    x = 11,407.56

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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.