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Finding the Fourth Proportional to 10,473.46, 14,453.57 and 5,693.45

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Solution

The fourth proportional to 10,473.46, 14,453.57 and 5,693.45 is: 7,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.46 : 14,453.57 = 5,693.45 : x
  2. Step 2: Convert to fraction form
    10,473.46/14,453.57 = 5,693.45/x
  3. Step 3: Cross multiply
    10,473.46x = 14,453.57 × 5,693.45
  4. Step 4: Simplify right side
    10,473.46x = 82,290,620.08
  5. Step 5: Solve for x
    x = 82,290,620.08/10,473.46
  6. Step 6: Final answer
    x = 7,857.06

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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.