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Finding the Fourth Proportional to 10,235.92, 14,124.24 and 5,759.12

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Solution

The fourth proportional to 10,235.92, 14,124.24 and 5,759.12 is: 7,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.92 : 14,124.24 = 5,759.12 : x
  2. Step 2: Convert to fraction form
    10,235.92/14,124.24 = 5,759.12/x
  3. Step 3: Cross multiply
    10,235.92x = 14,124.24 × 5,759.12
  4. Step 4: Simplify right side
    10,235.92x = 81,343,193.07
  5. Step 5: Solve for x
    x = 81,343,193.07/10,235.92
  6. Step 6: Final answer
    x = 7,946.84

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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.