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Finding the Fourth Proportional to 10,462.05, 15,695.55 and 7,546.05

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Solution

The fourth proportional to 10,462.05, 15,695.55 and 7,546.05 is: 11,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.05 : 15,695.55 = 7,546.05 : x
  2. Step 2: Convert to fraction form
    10,462.05/15,695.55 = 7,546.05/x
  3. Step 3: Cross multiply
    10,462.05x = 15,695.55 × 7,546.05
  4. Step 4: Simplify right side
    10,462.05x = 118,439,405.08
  5. Step 5: Solve for x
    x = 118,439,405.08/10,462.05
  6. Step 6: Final answer
    x = 11,320.86

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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.