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Finding the Fourth Proportional to 10,568.54, 15,839.03 and 5,888.36

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Solution

The fourth proportional to 10,568.54, 15,839.03 and 5,888.36 is: 8,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.54 : 15,839.03 = 5,888.36 : x
  2. Step 2: Convert to fraction form
    10,568.54/15,839.03 = 5,888.36/x
  3. Step 3: Cross multiply
    10,568.54x = 15,839.03 × 5,888.36
  4. Step 4: Simplify right side
    10,568.54x = 93,265,802.05
  5. Step 5: Solve for x
    x = 93,265,802.05/10,568.54
  6. Step 6: Final answer
    x = 8,824.86

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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.