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Finding the Fourth Proportional to 10,657.82, 14,697.78 and 8,425.02

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Solution

The fourth proportional to 10,657.82, 14,697.78 and 8,425.02 is: 11,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.82 : 14,697.78 = 8,425.02 : x
  2. Step 2: Convert to fraction form
    10,657.82/14,697.78 = 8,425.02/x
  3. Step 3: Cross multiply
    10,657.82x = 14,697.78 × 8,425.02
  4. Step 4: Simplify right side
    10,657.82x = 123,829,090.46
  5. Step 5: Solve for x
    x = 123,829,090.46/10,657.82
  6. Step 6: Final answer
    x = 11,618.61

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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.