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Finding the Fourth Proportional to 8,277.40, 12,416.10 and 4,778.20

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Solution

The fourth proportional to 8,277.40, 12,416.10 and 4,778.20 is: 7,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.40 : 12,416.10 = 4,778.20 : x
  2. Step 2: Convert to fraction form
    8,277.40/12,416.10 = 4,778.20/x
  3. Step 3: Cross multiply
    8,277.40x = 12,416.10 × 4,778.20
  4. Step 4: Simplify right side
    8,277.40x = 59,326,609.02
  5. Step 5: Solve for x
    x = 59,326,609.02/8,277.40
  6. Step 6: Final answer
    x = 7,167.30

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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.