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Finding the Fourth Proportional to 7,124.86, 9,832.35 and 4,142.58

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Solution

The fourth proportional to 7,124.86, 9,832.35 and 4,142.58 is: 5,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.86 : 9,832.35 = 4,142.58 : x
  2. Step 2: Convert to fraction form
    7,124.86/9,832.35 = 4,142.58/x
  3. Step 3: Cross multiply
    7,124.86x = 9,832.35 × 4,142.58
  4. Step 4: Simplify right side
    7,124.86x = 40,731,296.46
  5. Step 5: Solve for x
    x = 40,731,296.46/7,124.86
  6. Step 6: Final answer
    x = 5,716.79

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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.