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Finding the Fourth Proportional to 7,159.28, 10,735.08 and 4,694

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Solution

The fourth proportional to 7,159.28, 10,735.08 and 4,694 is: 7,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.28 : 10,735.08 = 4,694 : x
  2. Step 2: Convert to fraction form
    7,159.28/10,735.08 = 4,694/x
  3. Step 3: Cross multiply
    7,159.28x = 10,735.08 × 4,694
  4. Step 4: Simplify right side
    7,159.28x = 50,390,465.52
  5. Step 5: Solve for x
    x = 50,390,465.52/7,159.28
  6. Step 6: Final answer
    x = 7,038.48

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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.