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Finding the Fourth Proportional to 10,510.50, 15,765.84 and 2,718.84

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Solution

The fourth proportional to 10,510.50, 15,765.84 and 2,718.84 is: 4,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.50 : 15,765.84 = 2,718.84 : x
  2. Step 2: Convert to fraction form
    10,510.50/15,765.84 = 2,718.84/x
  3. Step 3: Cross multiply
    10,510.50x = 15,765.84 × 2,718.84
  4. Step 4: Simplify right side
    10,510.50x = 42,864,796.43
  5. Step 5: Solve for x
    x = 42,864,796.43/10,510.50
  6. Step 6: Final answer
    x = 4,078.28

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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.