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Finding the Fourth Proportional to 10,503, 14,493.79 and 6,026.68

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Solution

The fourth proportional to 10,503, 14,493.79 and 6,026.68 is: 8,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 14,493.79 = 6,026.68 : x
  2. Step 2: Convert to fraction form
    10,503/14,493.79 = 6,026.68/x
  3. Step 3: Cross multiply
    10,503x = 14,493.79 × 6,026.68
  4. Step 4: Simplify right side
    10,503x = 87,349,434.32
  5. Step 5: Solve for x
    x = 87,349,434.32/10,503
  6. Step 6: Final answer
    x = 8,316.62

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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.