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Finding the Fourth Proportional to 7,880.80, 11,818.84 and 6,490.69

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Solution

The fourth proportional to 7,880.80, 11,818.84 and 6,490.69 is: 9,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.80 : 11,818.84 = 6,490.69 : x
  2. Step 2: Convert to fraction form
    7,880.80/11,818.84 = 6,490.69/x
  3. Step 3: Cross multiply
    7,880.80x = 11,818.84 × 6,490.69
  4. Step 4: Simplify right side
    7,880.80x = 76,712,426.60
  5. Step 5: Solve for x
    x = 76,712,426.60/7,880.80
  6. Step 6: Final answer
    x = 9,734.09

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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.