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Finding the Fourth Proportional to 8,434.60, 12,651.90 and 5,810.20

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Solution

The fourth proportional to 8,434.60, 12,651.90 and 5,810.20 is: 8,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.60 : 12,651.90 = 5,810.20 : x
  2. Step 2: Convert to fraction form
    8,434.60/12,651.90 = 5,810.20/x
  3. Step 3: Cross multiply
    8,434.60x = 12,651.90 × 5,810.20
  4. Step 4: Simplify right side
    8,434.60x = 73,510,069.38
  5. Step 5: Solve for x
    x = 73,510,069.38/8,434.60
  6. Step 6: Final answer
    x = 8,715.30

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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.