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Finding the Fourth Proportional to 7,850.85, 10,833.64 and 4,313.98

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Solution

The fourth proportional to 7,850.85, 10,833.64 and 4,313.98 is: 5,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.85 : 10,833.64 = 4,313.98 : x
  2. Step 2: Convert to fraction form
    7,850.85/10,833.64 = 4,313.98/x
  3. Step 3: Cross multiply
    7,850.85x = 10,833.64 × 4,313.98
  4. Step 4: Simplify right side
    7,850.85x = 46,736,106.29
  5. Step 5: Solve for x
    x = 46,736,106.29/7,850.85
  6. Step 6: Final answer
    x = 5,953.00

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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.