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Finding the Fourth Proportional to 8,435.32, 11,638.14 and 4,897.84

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Solution

The fourth proportional to 8,435.32, 11,638.14 and 4,897.84 is: 6,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.32 : 11,638.14 = 4,897.84 : x
  2. Step 2: Convert to fraction form
    8,435.32/11,638.14 = 4,897.84/x
  3. Step 3: Cross multiply
    8,435.32x = 11,638.14 × 4,897.84
  4. Step 4: Simplify right side
    8,435.32x = 57,001,747.62
  5. Step 5: Solve for x
    x = 57,001,747.62/8,435.32
  6. Step 6: Final answer
    x = 6,757.51

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