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Finding the Fourth Proportional to 8,471.02, 12,678.93 and 7,662.70

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Solution

The fourth proportional to 8,471.02, 12,678.93 and 7,662.70 is: 11,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.02 : 12,678.93 = 7,662.70 : x
  2. Step 2: Convert to fraction form
    8,471.02/12,678.93 = 7,662.70/x
  3. Step 3: Cross multiply
    8,471.02x = 12,678.93 × 7,662.70
  4. Step 4: Simplify right side
    8,471.02x = 97,154,836.91
  5. Step 5: Solve for x
    x = 97,154,836.91/8,471.02
  6. Step 6: Final answer
    x = 11,469.08

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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.