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Finding the Fourth Proportional to 10,665.21, 14,717.18 and 5,885.34

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Solution

The fourth proportional to 10,665.21, 14,717.18 and 5,885.34 is: 8,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.21 : 14,717.18 = 5,885.34 : x
  2. Step 2: Convert to fraction form
    10,665.21/14,717.18 = 5,885.34/x
  3. Step 3: Cross multiply
    10,665.21x = 14,717.18 × 5,885.34
  4. Step 4: Simplify right side
    10,665.21x = 86,615,578.71
  5. Step 5: Solve for x
    x = 86,615,578.71/10,665.21
  6. Step 6: Final answer
    x = 8,121.32

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Why These Related Problems?

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