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Finding the Fourth Proportional to 10,502.82, 15,745.26 and 4,656.24

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Solution

The fourth proportional to 10,502.82, 15,745.26 and 4,656.24 is: 6,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.82 : 15,745.26 = 4,656.24 : x
  2. Step 2: Convert to fraction form
    10,502.82/15,745.26 = 4,656.24/x
  3. Step 3: Cross multiply
    10,502.82x = 15,745.26 × 4,656.24
  4. Step 4: Simplify right side
    10,502.82x = 73,313,709.42
  5. Step 5: Solve for x
    x = 73,313,709.42/10,502.82
  6. Step 6: Final answer
    x = 6,980.38

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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.