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Finding the Fourth Proportional to 10,218.74, 15,313.93 and 4,658.50

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Solution

The fourth proportional to 10,218.74, 15,313.93 and 4,658.50 is: 6,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.74 : 15,313.93 = 4,658.50 : x
  2. Step 2: Convert to fraction form
    10,218.74/15,313.93 = 4,658.50/x
  3. Step 3: Cross multiply
    10,218.74x = 15,313.93 × 4,658.50
  4. Step 4: Simplify right side
    10,218.74x = 71,339,942.91
  5. Step 5: Solve for x
    x = 71,339,942.91/10,218.74
  6. Step 6: Final answer
    x = 6,981.29

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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.