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Finding the Fourth Proportional to 10,332.59, 14,260.17 and 5,796.51

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Solution

The fourth proportional to 10,332.59, 14,260.17 and 5,796.51 is: 7,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.59 : 14,260.17 = 5,796.51 : x
  2. Step 2: Convert to fraction form
    10,332.59/14,260.17 = 5,796.51/x
  3. Step 3: Cross multiply
    10,332.59x = 14,260.17 × 5,796.51
  4. Step 4: Simplify right side
    10,332.59x = 82,659,218.01
  5. Step 5: Solve for x
    x = 82,659,218.01/10,332.59
  6. Step 6: Final answer
    x = 7,999.86

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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.