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Finding the Fourth Proportional to 28,582.88, 42,876.74 and 7,806.38

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Solution

The fourth proportional to 28,582.88, 42,876.74 and 7,806.38 is: 11,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582.88 : 42,876.74 = 7,806.38 : x
  2. Step 2: Convert to fraction form
    28,582.88/42,876.74 = 7,806.38/x
  3. Step 3: Cross multiply
    28,582.88x = 42,876.74 × 7,806.38
  4. Step 4: Simplify right side
    28,582.88x = 334,711,930.73
  5. Step 5: Solve for x
    x = 334,711,930.73/28,582.88
  6. Step 6: Final answer
    x = 11,710.23

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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.