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Finding the Fourth Proportional to 10,597.97, 14,624.46 and 5,881.88

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Solution

The fourth proportional to 10,597.97, 14,624.46 and 5,881.88 is: 8,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.97 : 14,624.46 = 5,881.88 : x
  2. Step 2: Convert to fraction form
    10,597.97/14,624.46 = 5,881.88/x
  3. Step 3: Cross multiply
    10,597.97x = 14,624.46 × 5,881.88
  4. Step 4: Simplify right side
    10,597.97x = 86,019,318.78
  5. Step 5: Solve for x
    x = 86,019,318.78/10,597.97
  6. Step 6: Final answer
    x = 8,116.58

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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.