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Finding the Fourth Proportional to 7,356.19, 10,151.64 and 4,212.38

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Solution

The fourth proportional to 7,356.19, 10,151.64 and 4,212.38 is: 5,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.19 : 10,151.64 = 4,212.38 : x
  2. Step 2: Convert to fraction form
    7,356.19/10,151.64 = 4,212.38/x
  3. Step 3: Cross multiply
    7,356.19x = 10,151.64 × 4,212.38
  4. Step 4: Simplify right side
    7,356.19x = 42,762,514.55
  5. Step 5: Solve for x
    x = 42,762,514.55/7,356.19
  6. Step 6: Final answer
    x = 5,813.14

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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.