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Finding the Fourth Proportional to 10,650.14, 14,690.66 and 7,065.26

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Solution

The fourth proportional to 10,650.14, 14,690.66 and 7,065.26 is: 9,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.14 : 14,690.66 = 7,065.26 : x
  2. Step 2: Convert to fraction form
    10,650.14/14,690.66 = 7,065.26/x
  3. Step 3: Cross multiply
    10,650.14x = 14,690.66 × 7,065.26
  4. Step 4: Simplify right side
    10,650.14x = 103,793,223.69
  5. Step 5: Solve for x
    x = 103,793,223.69/10,650.14
  6. Step 6: Final answer
    x = 9,745.72

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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.