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Finding the Fourth Proportional to 11,740.78, 16,202.82 and 6,436

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Solution

The fourth proportional to 11,740.78, 16,202.82 and 6,436 is: 8,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.78 : 16,202.82 = 6,436 : x
  2. Step 2: Convert to fraction form
    11,740.78/16,202.82 = 6,436/x
  3. Step 3: Cross multiply
    11,740.78x = 16,202.82 × 6,436
  4. Step 4: Simplify right side
    11,740.78x = 104,281,349.52
  5. Step 5: Solve for x
    x = 104,281,349.52/11,740.78
  6. Step 6: Final answer
    x = 8,881.98

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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.