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Finding the Fourth Proportional to 7,101.28, 9,804 and 5,007.52

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Solution

The fourth proportional to 7,101.28, 9,804 and 5,007.52 is: 6,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.28 : 9,804 = 5,007.52 : x
  2. Step 2: Convert to fraction form
    7,101.28/9,804 = 5,007.52/x
  3. Step 3: Cross multiply
    7,101.28x = 9,804 × 5,007.52
  4. Step 4: Simplify right side
    7,101.28x = 49,093,726.08
  5. Step 5: Solve for x
    x = 49,093,726.08/7,101.28
  6. Step 6: Final answer
    x = 6,913.36

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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.