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Finding the Fourth Proportional to 28,238.15, 42,356.50 and 7,461.83

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Solution

The fourth proportional to 28,238.15, 42,356.50 and 7,461.83 is: 11,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238.15 : 42,356.50 = 7,461.83 : x
  2. Step 2: Convert to fraction form
    28,238.15/42,356.50 = 7,461.83/x
  3. Step 3: Cross multiply
    28,238.15x = 42,356.50 × 7,461.83
  4. Step 4: Simplify right side
    28,238.15x = 316,056,771.96
  5. Step 5: Solve for x
    x = 316,056,771.96/28,238.15
  6. Step 6: Final answer
    x = 11,192.55

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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.