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Finding the Fourth Proportional to 7,416.65, 10,234.91 and 4,059.39

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Solution

The fourth proportional to 7,416.65, 10,234.91 and 4,059.39 is: 5,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.65 : 10,234.91 = 4,059.39 : x
  2. Step 2: Convert to fraction form
    7,416.65/10,234.91 = 4,059.39/x
  3. Step 3: Cross multiply
    7,416.65x = 10,234.91 × 4,059.39
  4. Step 4: Simplify right side
    7,416.65x = 41,547,471.01
  5. Step 5: Solve for x
    x = 41,547,471.01/7,416.65
  6. Step 6: Final answer
    x = 5,601.92

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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.