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Finding the Fourth Proportional to 10,659.53, 14,710.12 and 5,943.81

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Solution

The fourth proportional to 10,659.53, 14,710.12 and 5,943.81 is: 8,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.53 : 14,710.12 = 5,943.81 : x
  2. Step 2: Convert to fraction form
    10,659.53/14,710.12 = 5,943.81/x
  3. Step 3: Cross multiply
    10,659.53x = 14,710.12 × 5,943.81
  4. Step 4: Simplify right side
    10,659.53x = 87,434,232.09
  5. Step 5: Solve for x
    x = 87,434,232.09/10,659.53
  6. Step 6: Final answer
    x = 8,202.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.