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Finding the Fourth Proportional to 10,158.84, 14,021.54 and 6,615.88

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Solution

The fourth proportional to 10,158.84, 14,021.54 and 6,615.88 is: 9,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.84 : 14,021.54 = 6,615.88 : x
  2. Step 2: Convert to fraction form
    10,158.84/14,021.54 = 6,615.88/x
  3. Step 3: Cross multiply
    10,158.84x = 14,021.54 × 6,615.88
  4. Step 4: Simplify right side
    10,158.84x = 92,764,826.06
  5. Step 5: Solve for x
    x = 92,764,826.06/10,158.84
  6. Step 6: Final answer
    x = 9,131.44

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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.