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Finding the Fourth Proportional to 28,240.04, 42,361.86 and 7,463

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Solution

The fourth proportional to 28,240.04, 42,361.86 and 7,463 is: 11,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,240.04 : 42,361.86 = 7,463 : x
  2. Step 2: Convert to fraction form
    28,240.04/42,361.86 = 7,463/x
  3. Step 3: Cross multiply
    28,240.04x = 42,361.86 × 7,463
  4. Step 4: Simplify right side
    28,240.04x = 316,146,561.18
  5. Step 5: Solve for x
    x = 316,146,561.18/28,240.04
  6. Step 6: Final answer
    x = 11,194.98

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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.