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Finding the Fourth Proportional to 28,286.24, 42,430.16 and 7,509.76

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Solution

The fourth proportional to 28,286.24, 42,430.16 and 7,509.76 is: 11,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286.24 : 42,430.16 = 7,509.76 : x
  2. Step 2: Convert to fraction form
    28,286.24/42,430.16 = 7,509.76/x
  3. Step 3: Cross multiply
    28,286.24x = 42,430.16 × 7,509.76
  4. Step 4: Simplify right side
    28,286.24x = 318,640,318.36
  5. Step 5: Solve for x
    x = 318,640,318.36/28,286.24
  6. Step 6: Final answer
    x = 11,264.85

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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.