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Finding the Fourth Proportional to 10,661.60, 14,712.16 and 5,945.60

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Solution

The fourth proportional to 10,661.60, 14,712.16 and 5,945.60 is: 8,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.60 : 14,712.16 = 5,945.60 : x
  2. Step 2: Convert to fraction form
    10,661.60/14,712.16 = 5,945.60/x
  3. Step 3: Cross multiply
    10,661.60x = 14,712.16 × 5,945.60
  4. Step 4: Simplify right side
    10,661.60x = 87,472,618.50
  5. Step 5: Solve for x
    x = 87,472,618.50/10,661.60
  6. Step 6: Final answer
    x = 8,204.46

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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.