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Finding the Fourth Proportional to 28,523.95, 42,788.39 and 7,463.90

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Solution

The fourth proportional to 28,523.95, 42,788.39 and 7,463.90 is: 11,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,523.95 : 42,788.39 = 7,463.90 : x
  2. Step 2: Convert to fraction form
    28,523.95/42,788.39 = 7,463.90/x
  3. Step 3: Cross multiply
    28,523.95x = 42,788.39 × 7,463.90
  4. Step 4: Simplify right side
    28,523.95x = 319,368,333.77
  5. Step 5: Solve for x
    x = 319,368,333.77/28,523.95
  6. Step 6: Final answer
    x = 11,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.