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Finding the Fourth Proportional to 10,415.68, 14,366.12 and 6,635.12

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Solution

The fourth proportional to 10,415.68, 14,366.12 and 6,635.12 is: 9,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.68 : 14,366.12 = 6,635.12 : x
  2. Step 2: Convert to fraction form
    10,415.68/14,366.12 = 6,635.12/x
  3. Step 3: Cross multiply
    10,415.68x = 14,366.12 × 6,635.12
  4. Step 4: Simplify right side
    10,415.68x = 95,320,930.13
  5. Step 5: Solve for x
    x = 95,320,930.13/10,415.68
  6. Step 6: Final answer
    x = 9,151.68

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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.