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Finding the Fourth Proportional to 7,029.28, 9,700.83 and 4,045.03

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Solution

The fourth proportional to 7,029.28, 9,700.83 and 4,045.03 is: 5,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.28 : 9,700.83 = 4,045.03 : x
  2. Step 2: Convert to fraction form
    7,029.28/9,700.83 = 4,045.03/x
  3. Step 3: Cross multiply
    7,029.28x = 9,700.83 × 4,045.03
  4. Step 4: Simplify right side
    7,029.28x = 39,240,148.37
  5. Step 5: Solve for x
    x = 39,240,148.37/7,029.28
  6. Step 6: Final answer
    x = 5,582.39

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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.