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Finding the Fourth Proportional to 28,282.24, 42,424.16 and 7,505.76

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Solution

The fourth proportional to 28,282.24, 42,424.16 and 7,505.76 is: 11,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,282.24 : 42,424.16 = 7,505.76 : x
  2. Step 2: Convert to fraction form
    28,282.24/42,424.16 = 7,505.76/x
  3. Step 3: Cross multiply
    28,282.24x = 42,424.16 × 7,505.76
  4. Step 4: Simplify right side
    28,282.24x = 318,425,563.16
  5. Step 5: Solve for x
    x = 318,425,563.16/28,282.24
  6. Step 6: Final answer
    x = 11,258.85

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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.