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Finding the Fourth Proportional to 7,660.64, 10,571.17 and 4,303.78

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Solution

The fourth proportional to 7,660.64, 10,571.17 and 4,303.78 is: 5,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.64 : 10,571.17 = 4,303.78 : x
  2. Step 2: Convert to fraction form
    7,660.64/10,571.17 = 4,303.78/x
  3. Step 3: Cross multiply
    7,660.64x = 10,571.17 × 4,303.78
  4. Step 4: Simplify right side
    7,660.64x = 45,495,990.02
  5. Step 5: Solve for x
    x = 45,495,990.02/7,660.64
  6. Step 6: Final answer
    x = 5,938.93

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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.