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Finding the Fourth Proportional to 10,562.80, 15,842.40 and 3,985.60

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Solution

The fourth proportional to 10,562.80, 15,842.40 and 3,985.60 is: 5,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.80 : 15,842.40 = 3,985.60 : x
  2. Step 2: Convert to fraction form
    10,562.80/15,842.40 = 3,985.60/x
  3. Step 3: Cross multiply
    10,562.80x = 15,842.40 × 3,985.60
  4. Step 4: Simplify right side
    10,562.80x = 63,141,469.44
  5. Step 5: Solve for x
    x = 63,141,469.44/10,562.80
  6. Step 6: Final answer
    x = 5,977.72

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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.