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Finding the Fourth Proportional to 10,609.16, 14,630.52 and 7,735.28

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Solution

The fourth proportional to 10,609.16, 14,630.52 and 7,735.28 is: 10,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.16 : 14,630.52 = 7,735.28 : x
  2. Step 2: Convert to fraction form
    10,609.16/14,630.52 = 7,735.28/x
  3. Step 3: Cross multiply
    10,609.16x = 14,630.52 × 7,735.28
  4. Step 4: Simplify right side
    10,609.16x = 113,171,168.75
  5. Step 5: Solve for x
    x = 113,171,168.75/10,609.16
  6. Step 6: Final answer
    x = 10,667.31

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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.