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Finding the Fourth Proportional to 10,251.76, 14,148.30 and 5,776.39

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Solution

The fourth proportional to 10,251.76, 14,148.30 and 5,776.39 is: 7,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.76 : 14,148.30 = 5,776.39 : x
  2. Step 2: Convert to fraction form
    10,251.76/14,148.30 = 5,776.39/x
  3. Step 3: Cross multiply
    10,251.76x = 14,148.30 × 5,776.39
  4. Step 4: Simplify right side
    10,251.76x = 81,726,098.64
  5. Step 5: Solve for x
    x = 81,726,098.64/10,251.76
  6. Step 6: Final answer
    x = 7,971.91

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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.