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Finding the Fourth Proportional to 6,141.20, 8,477.16 and 4,816.40

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Solution

The fourth proportional to 6,141.20, 8,477.16 and 4,816.40 is: 6,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.20 : 8,477.16 = 4,816.40 : x
  2. Step 2: Convert to fraction form
    6,141.20/8,477.16 = 4,816.40/x
  3. Step 3: Cross multiply
    6,141.20x = 8,477.16 × 4,816.40
  4. Step 4: Simplify right side
    6,141.20x = 40,829,393.42
  5. Step 5: Solve for x
    x = 40,829,393.42/6,141.20
  6. Step 6: Final answer
    x = 6,648.44

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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.