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Finding the Fourth Proportional to 7,833.29, 10,808.44 and 4,477.16

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Solution

The fourth proportional to 7,833.29, 10,808.44 and 4,477.16 is: 6,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.29 : 10,808.44 = 4,477.16 : x
  2. Step 2: Convert to fraction form
    7,833.29/10,808.44 = 4,477.16/x
  3. Step 3: Cross multiply
    7,833.29x = 10,808.44 × 4,477.16
  4. Step 4: Simplify right side
    7,833.29x = 48,391,131.06
  5. Step 5: Solve for x
    x = 48,391,131.06/7,833.29
  6. Step 6: Final answer
    x = 6,177.63

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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.