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Finding the Fourth Proportional to 10,189.92, 15,271.92 and 4,646.28

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Solution

The fourth proportional to 10,189.92, 15,271.92 and 4,646.28 is: 6,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.92 : 15,271.92 = 4,646.28 : x
  2. Step 2: Convert to fraction form
    10,189.92/15,271.92 = 4,646.28/x
  3. Step 3: Cross multiply
    10,189.92x = 15,271.92 × 4,646.28
  4. Step 4: Simplify right side
    10,189.92x = 70,957,616.46
  5. Step 5: Solve for x
    x = 70,957,616.46/10,189.92
  6. Step 6: Final answer
    x = 6,963.51

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