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Finding the Fourth Proportional to 7,435.62, 11,135.84 and 6,456.40

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Solution

The fourth proportional to 7,435.62, 11,135.84 and 6,456.40 is: 9,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.62 : 11,135.84 = 6,456.40 : x
  2. Step 2: Convert to fraction form
    7,435.62/11,135.84 = 6,456.40/x
  3. Step 3: Cross multiply
    7,435.62x = 11,135.84 × 6,456.40
  4. Step 4: Simplify right side
    7,435.62x = 71,897,437.38
  5. Step 5: Solve for x
    x = 71,897,437.38/7,435.62
  6. Step 6: Final answer
    x = 9,669.33

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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.