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Finding the Fourth Proportional to 10,530.12, 15,796.86 and 6,373.20

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Solution

The fourth proportional to 10,530.12, 15,796.86 and 6,373.20 is: 9,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.12 : 15,796.86 = 6,373.20 : x
  2. Step 2: Convert to fraction form
    10,530.12/15,796.86 = 6,373.20/x
  3. Step 3: Cross multiply
    10,530.12x = 15,796.86 × 6,373.20
  4. Step 4: Simplify right side
    10,530.12x = 100,676,548.15
  5. Step 5: Solve for x
    x = 100,676,548.15/10,530.12
  6. Step 6: Final answer
    x = 9,560.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.