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Finding the Fourth Proportional to 7,513.80, 11,262.32 and 3,810.76

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Solution

The fourth proportional to 7,513.80, 11,262.32 and 3,810.76 is: 5,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.80 : 11,262.32 = 3,810.76 : x
  2. Step 2: Convert to fraction form
    7,513.80/11,262.32 = 3,810.76/x
  3. Step 3: Cross multiply
    7,513.80x = 11,262.32 × 3,810.76
  4. Step 4: Simplify right side
    7,513.80x = 42,917,998.56
  5. Step 5: Solve for x
    x = 42,917,998.56/7,513.80
  6. Step 6: Final answer
    x = 5,711.89

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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.