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Finding the Fourth Proportional to 7,689.06, 10,605.44 and 5,135.54

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Solution

The fourth proportional to 7,689.06, 10,605.44 and 5,135.54 is: 7,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.06 : 10,605.44 = 5,135.54 : x
  2. Step 2: Convert to fraction form
    7,689.06/10,605.44 = 5,135.54/x
  3. Step 3: Cross multiply
    7,689.06x = 10,605.44 × 5,135.54
  4. Step 4: Simplify right side
    7,689.06x = 54,464,661.34
  5. Step 5: Solve for x
    x = 54,464,661.34/7,689.06
  6. Step 6: Final answer
    x = 7,083.40

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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.