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Finding the Fourth Proportional to 8,290.10, 12,427.05 and 7,415.30

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Solution

The fourth proportional to 8,290.10, 12,427.05 and 7,415.30 is: 11,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.10 : 12,427.05 = 7,415.30 : x
  2. Step 2: Convert to fraction form
    8,290.10/12,427.05 = 7,415.30/x
  3. Step 3: Cross multiply
    8,290.10x = 12,427.05 × 7,415.30
  4. Step 4: Simplify right side
    8,290.10x = 92,150,303.87
  5. Step 5: Solve for x
    x = 92,150,303.87/8,290.10
  6. Step 6: Final answer
    x = 11,115.70

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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.