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Finding the Fourth Proportional to 11,423.34, 15,762.82 and 6,318.16

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Solution

The fourth proportional to 11,423.34, 15,762.82 and 6,318.16 is: 8,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.34 : 15,762.82 = 6,318.16 : x
  2. Step 2: Convert to fraction form
    11,423.34/15,762.82 = 6,318.16/x
  3. Step 3: Cross multiply
    11,423.34x = 15,762.82 × 6,318.16
  4. Step 4: Simplify right side
    11,423.34x = 99,591,987.22
  5. Step 5: Solve for x
    x = 99,591,987.22/11,423.34
  6. Step 6: Final answer
    x = 8,718.29

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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.