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Finding the Fourth Proportional to 10,406.64, 14,362.14 and 5,691.60

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Solution

The fourth proportional to 10,406.64, 14,362.14 and 5,691.60 is: 7,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.64 : 14,362.14 = 5,691.60 : x
  2. Step 2: Convert to fraction form
    10,406.64/14,362.14 = 5,691.60/x
  3. Step 3: Cross multiply
    10,406.64x = 14,362.14 × 5,691.60
  4. Step 4: Simplify right side
    10,406.64x = 81,743,556.02
  5. Step 5: Solve for x
    x = 81,743,556.02/10,406.64
  6. Step 6: Final answer
    x = 7,854.94

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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.