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Finding the Fourth Proportional to 28,553.76, 42,830.48 and 7,777.20

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Solution

The fourth proportional to 28,553.76, 42,830.48 and 7,777.20 is: 11,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,553.76 : 42,830.48 = 7,777.20 : x
  2. Step 2: Convert to fraction form
    28,553.76/42,830.48 = 7,777.20/x
  3. Step 3: Cross multiply
    28,553.76x = 42,830.48 × 7,777.20
  4. Step 4: Simplify right side
    28,553.76x = 333,101,209.06
  5. Step 5: Solve for x
    x = 333,101,209.06/28,553.76
  6. Step 6: Final answer
    x = 11,665.76

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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.