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Finding the Fourth Proportional to 7,835.56, 10,813.29 and 4,432.31

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Solution

The fourth proportional to 7,835.56, 10,813.29 and 4,432.31 is: 6,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.56 : 10,813.29 = 4,432.31 : x
  2. Step 2: Convert to fraction form
    7,835.56/10,813.29 = 4,432.31/x
  3. Step 3: Cross multiply
    7,835.56x = 10,813.29 × 4,432.31
  4. Step 4: Simplify right side
    7,835.56x = 47,927,853.40
  5. Step 5: Solve for x
    x = 47,927,853.40/7,835.56
  6. Step 6: Final answer
    x = 6,116.71

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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.