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Finding the Fourth Proportional to 10,509.13, 14,503.49 and 5,794.39

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Solution

The fourth proportional to 10,509.13, 14,503.49 and 5,794.39 is: 7,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.13 : 14,503.49 = 5,794.39 : x
  2. Step 2: Convert to fraction form
    10,509.13/14,503.49 = 5,794.39/x
  3. Step 3: Cross multiply
    10,509.13x = 14,503.49 × 5,794.39
  4. Step 4: Simplify right side
    10,509.13x = 84,038,877.42
  5. Step 5: Solve for x
    x = 84,038,877.42/10,509.13
  6. Step 6: Final answer
    x = 7,996.75

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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.