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Finding the Fourth Proportional to 10,299.34, 14,213.06 and 5,583.62

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Solution

The fourth proportional to 10,299.34, 14,213.06 and 5,583.62 is: 7,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.34 : 14,213.06 = 5,583.62 : x
  2. Step 2: Convert to fraction form
    10,299.34/14,213.06 = 5,583.62/x
  3. Step 3: Cross multiply
    10,299.34x = 14,213.06 × 5,583.62
  4. Step 4: Simplify right side
    10,299.34x = 79,360,326.08
  5. Step 5: Solve for x
    x = 79,360,326.08/10,299.34
  6. Step 6: Final answer
    x = 7,705.38

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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.