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Finding the Fourth Proportional to 7,357.16, 10,152.96 and 4,214

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Solution

The fourth proportional to 7,357.16, 10,152.96 and 4,214 is: 5,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.16 : 10,152.96 = 4,214 : x
  2. Step 2: Convert to fraction form
    7,357.16/10,152.96 = 4,214/x
  3. Step 3: Cross multiply
    7,357.16x = 10,152.96 × 4,214
  4. Step 4: Simplify right side
    7,357.16x = 42,784,573.44
  5. Step 5: Solve for x
    x = 42,784,573.44/7,357.16
  6. Step 6: Final answer
    x = 5,815.37

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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.