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Finding the Fourth Proportional to 7,492.37, 10,329.86 and 6,143.09

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Solution

The fourth proportional to 7,492.37, 10,329.86 and 6,143.09 is: 8,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.37 : 10,329.86 = 6,143.09 : x
  2. Step 2: Convert to fraction form
    7,492.37/10,329.86 = 6,143.09/x
  3. Step 3: Cross multiply
    7,492.37x = 10,329.86 × 6,143.09
  4. Step 4: Simplify right side
    7,492.37x = 63,457,223.38
  5. Step 5: Solve for x
    x = 63,457,223.38/7,492.37
  6. Step 6: Final answer
    x = 8,469.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.