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Finding the Fourth Proportional to 10,394.41, 15,596.88 and 5,199.88

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Solution

The fourth proportional to 10,394.41, 15,596.88 and 5,199.88 is: 7,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.41 : 15,596.88 = 5,199.88 : x
  2. Step 2: Convert to fraction form
    10,394.41/15,596.88 = 5,199.88/x
  3. Step 3: Cross multiply
    10,394.41x = 15,596.88 × 5,199.88
  4. Step 4: Simplify right side
    10,394.41x = 81,101,904.37
  5. Step 5: Solve for x
    x = 81,101,904.37/10,394.41
  6. Step 6: Final answer
    x = 7,802.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.