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Finding the Fourth Proportional to 7,809.76, 11,715.18 and 2,615.68

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Solution

The fourth proportional to 7,809.76, 11,715.18 and 2,615.68 is: 3,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.76 : 11,715.18 = 2,615.68 : x
  2. Step 2: Convert to fraction form
    7,809.76/11,715.18 = 2,615.68/x
  3. Step 3: Cross multiply
    7,809.76x = 11,715.18 × 2,615.68
  4. Step 4: Simplify right side
    7,809.76x = 30,643,162.02
  5. Step 5: Solve for x
    x = 30,643,162.02/7,809.76
  6. Step 6: Final answer
    x = 3,923.70

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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.