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Finding the Fourth Proportional to 7,832.76, 10,809.53 and 4,296.12

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Solution

The fourth proportional to 7,832.76, 10,809.53 and 4,296.12 is: 5,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.76 : 10,809.53 = 4,296.12 : x
  2. Step 2: Convert to fraction form
    7,832.76/10,809.53 = 4,296.12/x
  3. Step 3: Cross multiply
    7,832.76x = 10,809.53 × 4,296.12
  4. Step 4: Simplify right side
    7,832.76x = 46,439,038.02
  5. Step 5: Solve for x
    x = 46,439,038.02/7,832.76
  6. Step 6: Final answer
    x = 5,928.82

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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.