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Finding the Fourth Proportional to 7,888.40, 11,827.92 and 6,966.08

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Solution

The fourth proportional to 7,888.40, 11,827.92 and 6,966.08 is: 10,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.40 : 11,827.92 = 6,966.08 : x
  2. Step 2: Convert to fraction form
    7,888.40/11,827.92 = 6,966.08/x
  3. Step 3: Cross multiply
    7,888.40x = 11,827.92 × 6,966.08
  4. Step 4: Simplify right side
    7,888.40x = 82,394,236.95
  5. Step 5: Solve for x
    x = 82,394,236.95/7,888.40
  6. Step 6: Final answer
    x = 10,444.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.