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Finding the Fourth Proportional to 7,467.54, 10,298.43 and 6,133.38

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Solution

The fourth proportional to 7,467.54, 10,298.43 and 6,133.38 is: 8,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.54 : 10,298.43 = 6,133.38 : x
  2. Step 2: Convert to fraction form
    7,467.54/10,298.43 = 6,133.38/x
  3. Step 3: Cross multiply
    7,467.54x = 10,298.43 × 6,133.38
  4. Step 4: Simplify right side
    7,467.54x = 63,164,184.59
  5. Step 5: Solve for x
    x = 63,164,184.59/7,467.54
  6. Step 6: Final answer
    x = 8,458.50

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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.