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Finding the Fourth Proportional to 10,165.14, 14,008.82 and 6,979.41

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Solution

The fourth proportional to 10,165.14, 14,008.82 and 6,979.41 is: 9,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.14 : 14,008.82 = 6,979.41 : x
  2. Step 2: Convert to fraction form
    10,165.14/14,008.82 = 6,979.41/x
  3. Step 3: Cross multiply
    10,165.14x = 14,008.82 × 6,979.41
  4. Step 4: Simplify right side
    10,165.14x = 97,773,263.50
  5. Step 5: Solve for x
    x = 97,773,263.50/10,165.14
  6. Step 6: Final answer
    x = 9,618.49

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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.