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Finding the Fourth Proportional to 10,610.60, 14,632.84 and 7,212.72

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Solution

The fourth proportional to 10,610.60, 14,632.84 and 7,212.72 is: 9,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.60 : 14,632.84 = 7,212.72 : x
  2. Step 2: Convert to fraction form
    10,610.60/14,632.84 = 7,212.72/x
  3. Step 3: Cross multiply
    10,610.60x = 14,632.84 × 7,212.72
  4. Step 4: Simplify right side
    10,610.60x = 105,542,577.72
  5. Step 5: Solve for x
    x = 105,542,577.72/10,610.60
  6. Step 6: Final answer
    x = 9,946.90

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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.