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Finding the Fourth Proportional to 7,707.59, 10,635.34 and 4,519.68

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Solution

The fourth proportional to 7,707.59, 10,635.34 and 4,519.68 is: 6,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.59 : 10,635.34 = 4,519.68 : x
  2. Step 2: Convert to fraction form
    7,707.59/10,635.34 = 4,519.68/x
  3. Step 3: Cross multiply
    7,707.59x = 10,635.34 × 4,519.68
  4. Step 4: Simplify right side
    7,707.59x = 48,068,322.19
  5. Step 5: Solve for x
    x = 48,068,322.19/7,707.59
  6. Step 6: Final answer
    x = 6,236.49

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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.