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Finding the Fourth Proportional to 10,835.79, 14,952.27 and 7,435.71

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Solution

The fourth proportional to 10,835.79, 14,952.27 and 7,435.71 is: 10,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.79 : 14,952.27 = 7,435.71 : x
  2. Step 2: Convert to fraction form
    10,835.79/14,952.27 = 7,435.71/x
  3. Step 3: Cross multiply
    10,835.79x = 14,952.27 × 7,435.71
  4. Step 4: Simplify right side
    10,835.79x = 111,180,743.56
  5. Step 5: Solve for x
    x = 111,180,743.56/10,835.79
  6. Step 6: Final answer
    x = 10,260.51

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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.