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Finding the Fourth Proportional to 10,575.04, 15,844.36 and 5,647

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Solution

The fourth proportional to 10,575.04, 15,844.36 and 5,647 is: 8,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.04 : 15,844.36 = 5,647 : x
  2. Step 2: Convert to fraction form
    10,575.04/15,844.36 = 5,647/x
  3. Step 3: Cross multiply
    10,575.04x = 15,844.36 × 5,647
  4. Step 4: Simplify right side
    10,575.04x = 89,473,100.92
  5. Step 5: Solve for x
    x = 89,473,100.92/10,575.04
  6. Step 6: Final answer
    x = 8,460.78

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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.