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Finding the Fourth Proportional to 10,710.96, 14,780.98 and 5,995.24

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Solution

The fourth proportional to 10,710.96, 14,780.98 and 5,995.24 is: 8,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.96 : 14,780.98 = 5,995.24 : x
  2. Step 2: Convert to fraction form
    10,710.96/14,780.98 = 5,995.24/x
  3. Step 3: Cross multiply
    10,710.96x = 14,780.98 × 5,995.24
  4. Step 4: Simplify right side
    10,710.96x = 88,615,522.54
  5. Step 5: Solve for x
    x = 88,615,522.54/10,710.96
  6. Step 6: Final answer
    x = 8,273.35

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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.