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Finding the Fourth Proportional to 10,446.33, 14,416.13 and 6,411.14

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Solution

The fourth proportional to 10,446.33, 14,416.13 and 6,411.14 is: 8,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.33 : 14,416.13 = 6,411.14 : x
  2. Step 2: Convert to fraction form
    10,446.33/14,416.13 = 6,411.14/x
  3. Step 3: Cross multiply
    10,446.33x = 14,416.13 × 6,411.14
  4. Step 4: Simplify right side
    10,446.33x = 92,423,802.67
  5. Step 5: Solve for x
    x = 92,423,802.67/10,446.33
  6. Step 6: Final answer
    x = 8,847.49

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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.