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Finding the Fourth Proportional to 8,263.40, 12,387.90 and 4,977.80

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Solution

The fourth proportional to 8,263.40, 12,387.90 and 4,977.80 is: 7,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.40 : 12,387.90 = 4,977.80 : x
  2. Step 2: Convert to fraction form
    8,263.40/12,387.90 = 4,977.80/x
  3. Step 3: Cross multiply
    8,263.40x = 12,387.90 × 4,977.80
  4. Step 4: Simplify right side
    8,263.40x = 61,664,488.62
  5. Step 5: Solve for x
    x = 61,664,488.62/8,263.40
  6. Step 6: Final answer
    x = 7,462.36

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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.