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Finding the Fourth Proportional to 28,427.16, 42,642.18 and 7,650.84

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Solution

The fourth proportional to 28,427.16, 42,642.18 and 7,650.84 is: 11,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,427.16 : 42,642.18 = 7,650.84 : x
  2. Step 2: Convert to fraction form
    28,427.16/42,642.18 = 7,650.84/x
  3. Step 3: Cross multiply
    28,427.16x = 42,642.18 × 7,650.84
  4. Step 4: Simplify right side
    28,427.16x = 326,248,496.43
  5. Step 5: Solve for x
    x = 326,248,496.43/28,427.16
  6. Step 6: Final answer
    x = 11,476.65

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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.