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Finding the Fourth Proportional to 10,429.28, 14,393.78 and 5,952.01

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Solution

The fourth proportional to 10,429.28, 14,393.78 and 5,952.01 is: 8,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.28 : 14,393.78 = 5,952.01 : x
  2. Step 2: Convert to fraction form
    10,429.28/14,393.78 = 5,952.01/x
  3. Step 3: Cross multiply
    10,429.28x = 14,393.78 × 5,952.01
  4. Step 4: Simplify right side
    10,429.28x = 85,671,879.07
  5. Step 5: Solve for x
    x = 85,671,879.07/10,429.28
  6. Step 6: Final answer
    x = 8,214.55

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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.