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Finding the Fourth Proportional to 10,665.79, 14,714.02 and 6,186.94

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Solution

The fourth proportional to 10,665.79, 14,714.02 and 6,186.94 is: 8,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.79 : 14,714.02 = 6,186.94 : x
  2. Step 2: Convert to fraction form
    10,665.79/14,714.02 = 6,186.94/x
  3. Step 3: Cross multiply
    10,665.79x = 14,714.02 × 6,186.94
  4. Step 4: Simplify right side
    10,665.79x = 91,034,758.90
  5. Step 5: Solve for x
    x = 91,034,758.90/10,665.79
  6. Step 6: Final answer
    x = 8,535.21

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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.