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Finding the Fourth Proportional to 28,564.80, 42,847.20 and 7,788.30

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Solution

The fourth proportional to 28,564.80, 42,847.20 and 7,788.30 is: 11,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.80 : 42,847.20 = 7,788.30 : x
  2. Step 2: Convert to fraction form
    28,564.80/42,847.20 = 7,788.30/x
  3. Step 3: Cross multiply
    28,564.80x = 42,847.20 × 7,788.30
  4. Step 4: Simplify right side
    28,564.80x = 333,706,847.76
  5. Step 5: Solve for x
    x = 333,706,847.76/28,564.80
  6. Step 6: Final answer
    x = 11,682.45

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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.