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Finding the Fourth Proportional to 7,562.38, 10,435.89 and 4,205.02

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Solution

The fourth proportional to 7,562.38, 10,435.89 and 4,205.02 is: 5,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.38 : 10,435.89 = 4,205.02 : x
  2. Step 2: Convert to fraction form
    7,562.38/10,435.89 = 4,205.02/x
  3. Step 3: Cross multiply
    7,562.38x = 10,435.89 × 4,205.02
  4. Step 4: Simplify right side
    7,562.38x = 43,883,126.17
  5. Step 5: Solve for x
    x = 43,883,126.17/7,562.38
  6. Step 6: Final answer
    x = 5,802.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.