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Finding the Fourth Proportional to 8,741.79, 12,068.25 and 6,823.50

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Solution

The fourth proportional to 8,741.79, 12,068.25 and 6,823.50 is: 9,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.79 : 12,068.25 = 6,823.50 : x
  2. Step 2: Convert to fraction form
    8,741.79/12,068.25 = 6,823.50/x
  3. Step 3: Cross multiply
    8,741.79x = 12,068.25 × 6,823.50
  4. Step 4: Simplify right side
    8,741.79x = 82,347,703.88
  5. Step 5: Solve for x
    x = 82,347,703.88/8,741.79
  6. Step 6: Final answer
    x = 9,420.00

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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.