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Finding the Fourth Proportional to 10,015.29, 13,816.50 and 6,479.64

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Solution

The fourth proportional to 10,015.29, 13,816.50 and 6,479.64 is: 8,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.29 : 13,816.50 = 6,479.64 : x
  2. Step 2: Convert to fraction form
    10,015.29/13,816.50 = 6,479.64/x
  3. Step 3: Cross multiply
    10,015.29x = 13,816.50 × 6,479.64
  4. Step 4: Simplify right side
    10,015.29x = 89,525,946.06
  5. Step 5: Solve for x
    x = 89,525,946.06/10,015.29
  6. Step 6: Final answer
    x = 8,938.93

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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.