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Finding the Fourth Proportional to 10,578.84, 15,852.66 and 5,892.39

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Solution

The fourth proportional to 10,578.84, 15,852.66 and 5,892.39 is: 8,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.84 : 15,852.66 = 5,892.39 : x
  2. Step 2: Convert to fraction form
    10,578.84/15,852.66 = 5,892.39/x
  3. Step 3: Cross multiply
    10,578.84x = 15,852.66 × 5,892.39
  4. Step 4: Simplify right side
    10,578.84x = 93,410,055.26
  5. Step 5: Solve for x
    x = 93,410,055.26/10,578.84
  6. Step 6: Final answer
    x = 8,829.90

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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.