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Finding the Fourth Proportional to 28,284.24, 42,427.16 and 7,507.76

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Solution

The fourth proportional to 28,284.24, 42,427.16 and 7,507.76 is: 11,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.24 : 42,427.16 = 7,507.76 : x
  2. Step 2: Convert to fraction form
    28,284.24/42,427.16 = 7,507.76/x
  3. Step 3: Cross multiply
    28,284.24x = 42,427.16 × 7,507.76
  4. Step 4: Simplify right side
    28,284.24x = 318,532,934.76
  5. Step 5: Solve for x
    x = 318,532,934.76/28,284.24
  6. Step 6: Final answer
    x = 11,261.85

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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.