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Finding the Fourth Proportional to 10,660.32, 14,710.90 and 5,880.26

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Solution

The fourth proportional to 10,660.32, 14,710.90 and 5,880.26 is: 8,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.32 : 14,710.90 = 5,880.26 : x
  2. Step 2: Convert to fraction form
    10,660.32/14,710.90 = 5,880.26/x
  3. Step 3: Cross multiply
    10,660.32x = 14,710.90 × 5,880.26
  4. Step 4: Simplify right side
    10,660.32x = 86,503,843.28
  5. Step 5: Solve for x
    x = 86,503,843.28/10,660.32
  6. Step 6: Final answer
    x = 8,114.56

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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.