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Finding the Fourth Proportional to 10,322.86, 14,245.70 and 5,846.50

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Solution

The fourth proportional to 10,322.86, 14,245.70 and 5,846.50 is: 8,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.86 : 14,245.70 = 5,846.50 : x
  2. Step 2: Convert to fraction form
    10,322.86/14,245.70 = 5,846.50/x
  3. Step 3: Cross multiply
    10,322.86x = 14,245.70 × 5,846.50
  4. Step 4: Simplify right side
    10,322.86x = 83,287,485.05
  5. Step 5: Solve for x
    x = 83,287,485.05/10,322.86
  6. Step 6: Final answer
    x = 8,068.26

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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.