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Finding the Fourth Proportional to 10,765.72, 14,838.42 and 8,212.60

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Solution

The fourth proportional to 10,765.72, 14,838.42 and 8,212.60 is: 11,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.72 : 14,838.42 = 8,212.60 : x
  2. Step 2: Convert to fraction form
    10,765.72/14,838.42 = 8,212.60/x
  3. Step 3: Cross multiply
    10,765.72x = 14,838.42 × 8,212.60
  4. Step 4: Simplify right side
    10,765.72x = 121,862,008.09
  5. Step 5: Solve for x
    x = 121,862,008.09/10,765.72
  6. Step 6: Final answer
    x = 11,319.45

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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.