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Finding the Fourth Proportional to 7,032, 10,541.10 and 3,913.50

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Solution

The fourth proportional to 7,032, 10,541.10 and 3,913.50 is: 5,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032 : 10,541.10 = 3,913.50 : x
  2. Step 2: Convert to fraction form
    7,032/10,541.10 = 3,913.50/x
  3. Step 3: Cross multiply
    7,032x = 10,541.10 × 3,913.50
  4. Step 4: Simplify right side
    7,032x = 41,252,594.85
  5. Step 5: Solve for x
    x = 41,252,594.85/7,032
  6. Step 6: Final answer
    x = 5,866.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.