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Finding the Fourth Proportional to 7,673.10, 10,583.52 and 7,415.94

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Solution

The fourth proportional to 7,673.10, 10,583.52 and 7,415.94 is: 10,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.10 : 10,583.52 = 7,415.94 : x
  2. Step 2: Convert to fraction form
    7,673.10/10,583.52 = 7,415.94/x
  3. Step 3: Cross multiply
    7,673.10x = 10,583.52 × 7,415.94
  4. Step 4: Simplify right side
    7,673.10x = 78,486,749.31
  5. Step 5: Solve for x
    x = 78,486,749.31/7,673.10
  6. Step 6: Final answer
    x = 10,228.82

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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.