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Finding the Fourth Proportional to 10,251.70, 14,148.69 and 5,776.32

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Solution

The fourth proportional to 10,251.70, 14,148.69 and 5,776.32 is: 7,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.70 : 14,148.69 = 5,776.32 : x
  2. Step 2: Convert to fraction form
    10,251.70/14,148.69 = 5,776.32/x
  3. Step 3: Cross multiply
    10,251.70x = 14,148.69 × 5,776.32
  4. Step 4: Simplify right side
    10,251.70x = 81,727,361.02
  5. Step 5: Solve for x
    x = 81,727,361.02/10,251.70
  6. Step 6: Final answer
    x = 7,972.08

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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.