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Finding the Fourth Proportional to 10,646.32, 14,697.28 and 8,250.96

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Solution

The fourth proportional to 10,646.32, 14,697.28 and 8,250.96 is: 11,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.32 : 14,697.28 = 8,250.96 : x
  2. Step 2: Convert to fraction form
    10,646.32/14,697.28 = 8,250.96/x
  3. Step 3: Cross multiply
    10,646.32x = 14,697.28 × 8,250.96
  4. Step 4: Simplify right side
    10,646.32x = 121,266,669.39
  5. Step 5: Solve for x
    x = 121,266,669.39/10,646.32
  6. Step 6: Final answer
    x = 11,390.48

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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.