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Finding the Fourth Proportional to 28,204.88, 42,307.31 and 7,428.38

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Solution

The fourth proportional to 28,204.88, 42,307.31 and 7,428.38 is: 11,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.88 : 42,307.31 = 7,428.38 : x
  2. Step 2: Convert to fraction form
    28,204.88/42,307.31 = 7,428.38/x
  3. Step 3: Cross multiply
    28,204.88x = 42,307.31 × 7,428.38
  4. Step 4: Simplify right side
    28,204.88x = 314,274,582.49
  5. Step 5: Solve for x
    x = 314,274,582.49/28,204.88
  6. Step 6: Final answer
    x = 11,142.56

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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.