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Finding the Fourth Proportional to 10,151.64, 14,009.76 and 5,675.46

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Solution

The fourth proportional to 10,151.64, 14,009.76 and 5,675.46 is: 7,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.64 : 14,009.76 = 5,675.46 : x
  2. Step 2: Convert to fraction form
    10,151.64/14,009.76 = 5,675.46/x
  3. Step 3: Cross multiply
    10,151.64x = 14,009.76 × 5,675.46
  4. Step 4: Simplify right side
    10,151.64x = 79,511,832.49
  5. Step 5: Solve for x
    x = 79,511,832.49/10,151.64
  6. Step 6: Final answer
    x = 7,832.41

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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.