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Finding the Fourth Proportional to 7,707.84, 10,635.68 and 4,519.93

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Solution

The fourth proportional to 7,707.84, 10,635.68 and 4,519.93 is: 6,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.84 : 10,635.68 = 4,519.93 : x
  2. Step 2: Convert to fraction form
    7,707.84/10,635.68 = 4,519.93/x
  3. Step 3: Cross multiply
    7,707.84x = 10,635.68 × 4,519.93
  4. Step 4: Simplify right side
    7,707.84x = 48,072,540.40
  5. Step 5: Solve for x
    x = 48,072,540.40/7,707.84
  6. Step 6: Final answer
    x = 6,236.84

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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.