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Finding the Fourth Proportional to 8,184.70, 12,278.40 and 4,490.02

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Solution

The fourth proportional to 8,184.70, 12,278.40 and 4,490.02 is: 6,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.70 : 12,278.40 = 4,490.02 : x
  2. Step 2: Convert to fraction form
    8,184.70/12,278.40 = 4,490.02/x
  3. Step 3: Cross multiply
    8,184.70x = 12,278.40 × 4,490.02
  4. Step 4: Simplify right side
    8,184.70x = 55,130,261.57
  5. Step 5: Solve for x
    x = 55,130,261.57/8,184.70
  6. Step 6: Final answer
    x = 6,735.77

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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.