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Finding the Fourth Proportional to 10,502.46, 15,752.07 and 4,658.04

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Solution

The fourth proportional to 10,502.46, 15,752.07 and 4,658.04 is: 6,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.46 : 15,752.07 = 4,658.04 : x
  2. Step 2: Convert to fraction form
    10,502.46/15,752.07 = 4,658.04/x
  3. Step 3: Cross multiply
    10,502.46x = 15,752.07 × 4,658.04
  4. Step 4: Simplify right side
    10,502.46x = 73,373,772.14
  5. Step 5: Solve for x
    x = 73,373,772.14/10,502.46
  6. Step 6: Final answer
    x = 6,986.34

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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.