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Finding the Fourth Proportional to 28,572, 42,858.54 and 7,796.04

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Solution

The fourth proportional to 28,572, 42,858.54 and 7,796.04 is: 11,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,572 : 42,858.54 = 7,796.04 : x
  2. Step 2: Convert to fraction form
    28,572/42,858.54 = 7,796.04/x
  3. Step 3: Cross multiply
    28,572x = 42,858.54 × 7,796.04
  4. Step 4: Simplify right side
    28,572x = 334,126,892.18
  5. Step 5: Solve for x
    x = 334,126,892.18/28,572
  6. Step 6: Final answer
    x = 11,694.21

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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.