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Finding the Fourth Proportional to 10,578.49, 15,852.14 and 5,892.05

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Solution

The fourth proportional to 10,578.49, 15,852.14 and 5,892.05 is: 8,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.49 : 15,852.14 = 5,892.05 : x
  2. Step 2: Convert to fraction form
    10,578.49/15,852.14 = 5,892.05/x
  3. Step 3: Cross multiply
    10,578.49x = 15,852.14 × 5,892.05
  4. Step 4: Simplify right side
    10,578.49x = 93,401,607.45
  5. Step 5: Solve for x
    x = 93,401,607.45/10,578.49
  6. Step 6: Final answer
    x = 8,829.39

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