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Finding the Fourth Proportional to 8,290.63, 12,428.12 and 4,126.70

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Solution

The fourth proportional to 8,290.63, 12,428.12 and 4,126.70 is: 6,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.63 : 12,428.12 = 4,126.70 : x
  2. Step 2: Convert to fraction form
    8,290.63/12,428.12 = 4,126.70/x
  3. Step 3: Cross multiply
    8,290.63x = 12,428.12 × 4,126.70
  4. Step 4: Simplify right side
    8,290.63x = 51,287,094.28
  5. Step 5: Solve for x
    x = 51,287,094.28/8,290.63
  6. Step 6: Final answer
    x = 6,186.15

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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.