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Finding the Fourth Proportional to 10,666.20, 14,714.82 and 6,684.60

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Solution

The fourth proportional to 10,666.20, 14,714.82 and 6,684.60 is: 9,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.20 : 14,714.82 = 6,684.60 : x
  2. Step 2: Convert to fraction form
    10,666.20/14,714.82 = 6,684.60/x
  3. Step 3: Cross multiply
    10,666.20x = 14,714.82 × 6,684.60
  4. Step 4: Simplify right side
    10,666.20x = 98,362,685.77
  5. Step 5: Solve for x
    x = 98,362,685.77/10,666.20
  6. Step 6: Final answer
    x = 9,221.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.