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Finding the Fourth Proportional to 10,502.64, 15,749.10 and 4,660.92

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Solution

The fourth proportional to 10,502.64, 15,749.10 and 4,660.92 is: 6,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.64 : 15,749.10 = 4,660.92 : x
  2. Step 2: Convert to fraction form
    10,502.64/15,749.10 = 4,660.92/x
  3. Step 3: Cross multiply
    10,502.64x = 15,749.10 × 4,660.92
  4. Step 4: Simplify right side
    10,502.64x = 73,405,295.17
  5. Step 5: Solve for x
    x = 73,405,295.17/10,502.64
  6. Step 6: Final answer
    x = 6,989.22

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Why These Related Problems?

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