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Finding the Fourth Proportional to 8,184.30, 12,276.45 and 7,406.70

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Solution

The fourth proportional to 8,184.30, 12,276.45 and 7,406.70 is: 11,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.30 : 12,276.45 = 7,406.70 : x
  2. Step 2: Convert to fraction form
    8,184.30/12,276.45 = 7,406.70/x
  3. Step 3: Cross multiply
    8,184.30x = 12,276.45 × 7,406.70
  4. Step 4: Simplify right side
    8,184.30x = 90,927,982.22
  5. Step 5: Solve for x
    x = 90,927,982.22/8,184.30
  6. Step 6: Final answer
    x = 11,110.05

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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.