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Finding the Fourth Proportional to 10,019.68, 13,824.66 and 6,478.63

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Solution

The fourth proportional to 10,019.68, 13,824.66 and 6,478.63 is: 8,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.68 : 13,824.66 = 6,478.63 : x
  2. Step 2: Convert to fraction form
    10,019.68/13,824.66 = 6,478.63/x
  3. Step 3: Cross multiply
    10,019.68x = 13,824.66 × 6,478.63
  4. Step 4: Simplify right side
    10,019.68x = 89,564,857.02
  5. Step 5: Solve for x
    x = 89,564,857.02/10,019.68
  6. Step 6: Final answer
    x = 8,938.89

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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.