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Finding the Fourth Proportional to 7,708.47, 11,555.62 and 2,776.91

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Solution

The fourth proportional to 7,708.47, 11,555.62 and 2,776.91 is: 4,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.47 : 11,555.62 = 2,776.91 : x
  2. Step 2: Convert to fraction form
    7,708.47/11,555.62 = 2,776.91/x
  3. Step 3: Cross multiply
    7,708.47x = 11,555.62 × 2,776.91
  4. Step 4: Simplify right side
    7,708.47x = 32,088,916.73
  5. Step 5: Solve for x
    x = 32,088,916.73/7,708.47
  6. Step 6: Final answer
    x = 4,162.81

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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.