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Finding the Fourth Proportional to 11,358, 15,675 and 6,390.96

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Solution

The fourth proportional to 11,358, 15,675 and 6,390.96 is: 8,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358 : 15,675 = 6,390.96 : x
  2. Step 2: Convert to fraction form
    11,358/15,675 = 6,390.96/x
  3. Step 3: Cross multiply
    11,358x = 15,675 × 6,390.96
  4. Step 4: Simplify right side
    11,358x = 100,178,298
  5. Step 5: Solve for x
    x = 100,178,298/11,358
  6. Step 6: Final answer
    x = 8,820.06

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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.