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Finding the Fourth Proportional to 10,662.71, 14,714.63 and 5,882.86

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Solution

The fourth proportional to 10,662.71, 14,714.63 and 5,882.86 is: 8,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.71 : 14,714.63 = 5,882.86 : x
  2. Step 2: Convert to fraction form
    10,662.71/14,714.63 = 5,882.86/x
  3. Step 3: Cross multiply
    10,662.71x = 14,714.63 × 5,882.86
  4. Step 4: Simplify right side
    10,662.71x = 86,564,119.28
  5. Step 5: Solve for x
    x = 86,564,119.28/10,662.71
  6. Step 6: Final answer
    x = 8,118.40

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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.