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Finding the Fourth Proportional to 10,597.94, 14,623.89 and 5,881.58

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Solution

The fourth proportional to 10,597.94, 14,623.89 and 5,881.58 is: 8,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.94 : 14,623.89 = 5,881.58 : x
  2. Step 2: Convert to fraction form
    10,597.94/14,623.89 = 5,881.58/x
  3. Step 3: Cross multiply
    10,597.94x = 14,623.89 × 5,881.58
  4. Step 4: Simplify right side
    10,597.94x = 86,011,578.95
  5. Step 5: Solve for x
    x = 86,011,578.95/10,597.94
  6. Step 6: Final answer
    x = 8,115.88

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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.