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Finding the Fourth Proportional to 7,352.38, 10,146.54 and 4,208.50

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Solution

The fourth proportional to 7,352.38, 10,146.54 and 4,208.50 is: 5,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.38 : 10,146.54 = 4,208.50 : x
  2. Step 2: Convert to fraction form
    7,352.38/10,146.54 = 4,208.50/x
  3. Step 3: Cross multiply
    7,352.38x = 10,146.54 × 4,208.50
  4. Step 4: Simplify right side
    7,352.38x = 42,701,713.59
  5. Step 5: Solve for x
    x = 42,701,713.59/7,352.38
  6. Step 6: Final answer
    x = 5,807.88

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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.