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Finding the Fourth Proportional to 7,705.48, 10,634.10 and 5,813.74

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Solution

The fourth proportional to 7,705.48, 10,634.10 and 5,813.74 is: 8,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.48 : 10,634.10 = 5,813.74 : x
  2. Step 2: Convert to fraction form
    7,705.48/10,634.10 = 5,813.74/x
  3. Step 3: Cross multiply
    7,705.48x = 10,634.10 × 5,813.74
  4. Step 4: Simplify right side
    7,705.48x = 61,823,892.53
  5. Step 5: Solve for x
    x = 61,823,892.53/7,705.48
  6. Step 6: Final answer
    x = 8,023.37

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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.