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Finding the Fourth Proportional to 35,187.84, 52,782.12 and 8,892.60

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Solution

The fourth proportional to 35,187.84, 52,782.12 and 8,892.60 is: 13,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,187.84 : 52,782.12 = 8,892.60 : x
  2. Step 2: Convert to fraction form
    35,187.84/52,782.12 = 8,892.60/x
  3. Step 3: Cross multiply
    35,187.84x = 52,782.12 × 8,892.60
  4. Step 4: Simplify right side
    35,187.84x = 469,370,280.31
  5. Step 5: Solve for x
    x = 469,370,280.31/35,187.84
  6. Step 6: Final answer
    x = 13,338.99

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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.