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Finding the Fourth Proportional to 7,804.80, 11,708.96 and 3,641.76

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Solution

The fourth proportional to 7,804.80, 11,708.96 and 3,641.76 is: 5,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.80 : 11,708.96 = 3,641.76 : x
  2. Step 2: Convert to fraction form
    7,804.80/11,708.96 = 3,641.76/x
  3. Step 3: Cross multiply
    7,804.80x = 11,708.96 × 3,641.76
  4. Step 4: Simplify right side
    7,804.80x = 42,641,222.17
  5. Step 5: Solve for x
    x = 42,641,222.17/7,804.80
  6. Step 6: Final answer
    x = 5,463.46

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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.