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Finding the Fourth Proportional to 8,470.02, 12,677.43 and 7,661.70

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Solution

The fourth proportional to 8,470.02, 12,677.43 and 7,661.70 is: 11,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.02 : 12,677.43 = 7,661.70 : x
  2. Step 2: Convert to fraction form
    8,470.02/12,677.43 = 7,661.70/x
  3. Step 3: Cross multiply
    8,470.02x = 12,677.43 × 7,661.70
  4. Step 4: Simplify right side
    8,470.02x = 97,130,665.43
  5. Step 5: Solve for x
    x = 97,130,665.43/8,470.02
  6. Step 6: Final answer
    x = 11,467.58

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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.