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Finding the Fourth Proportional to 7,345, 10,136.34 and 4,033

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Solution

The fourth proportional to 7,345, 10,136.34 and 4,033 is: 5,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345 : 10,136.34 = 4,033 : x
  2. Step 2: Convert to fraction form
    7,345/10,136.34 = 4,033/x
  3. Step 3: Cross multiply
    7,345x = 10,136.34 × 4,033
  4. Step 4: Simplify right side
    7,345x = 40,879,859.22
  5. Step 5: Solve for x
    x = 40,879,859.22/7,345
  6. Step 6: Final answer
    x = 5,565.67

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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.