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Finding the Fourth Proportional to 7,657.84, 10,568.02 and 4,300.92

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Solution

The fourth proportional to 7,657.84, 10,568.02 and 4,300.92 is: 5,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.84 : 10,568.02 = 4,300.92 : x
  2. Step 2: Convert to fraction form
    7,657.84/10,568.02 = 4,300.92/x
  3. Step 3: Cross multiply
    7,657.84x = 10,568.02 × 4,300.92
  4. Step 4: Simplify right side
    7,657.84x = 45,452,208.58
  5. Step 5: Solve for x
    x = 45,452,208.58/7,657.84
  6. Step 6: Final answer
    x = 5,935.38

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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.