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Finding the Fourth Proportional to 7,970.64, 11,000.54 and 4,826.88

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Solution

The fourth proportional to 7,970.64, 11,000.54 and 4,826.88 is: 6,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.64 : 11,000.54 = 4,826.88 : x
  2. Step 2: Convert to fraction form
    7,970.64/11,000.54 = 4,826.88/x
  3. Step 3: Cross multiply
    7,970.64x = 11,000.54 × 4,826.88
  4. Step 4: Simplify right side
    7,970.64x = 53,098,286.52
  5. Step 5: Solve for x
    x = 53,098,286.52/7,970.64
  6. Step 6: Final answer
    x = 6,661.73

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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.