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Finding the Fourth Proportional to 10,660.35, 14,710.93 and 5,880.49

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Solution

The fourth proportional to 10,660.35, 14,710.93 and 5,880.49 is: 8,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.35 : 14,710.93 = 5,880.49 : x
  2. Step 2: Convert to fraction form
    10,660.35/14,710.93 = 5,880.49/x
  3. Step 3: Cross multiply
    10,660.35x = 14,710.93 × 5,880.49
  4. Step 4: Simplify right side
    10,660.35x = 86,507,425.28
  5. Step 5: Solve for x
    x = 86,507,425.28/10,660.35
  6. Step 6: Final answer
    x = 8,114.87

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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.