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Finding the Fourth Proportional to 7,357.18, 10,152.90 and 4,213.38

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Solution

The fourth proportional to 7,357.18, 10,152.90 and 4,213.38 is: 5,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.18 : 10,152.90 = 4,213.38 : x
  2. Step 2: Convert to fraction form
    7,357.18/10,152.90 = 4,213.38/x
  3. Step 3: Cross multiply
    7,357.18x = 10,152.90 × 4,213.38
  4. Step 4: Simplify right side
    7,357.18x = 42,778,025.80
  5. Step 5: Solve for x
    x = 42,778,025.80/7,357.18
  6. Step 6: Final answer
    x = 5,814.46

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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.