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Finding the Fourth Proportional to 7,795.64, 10,761.02 and 5,276.52

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Solution

The fourth proportional to 7,795.64, 10,761.02 and 5,276.52 is: 7,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.64 : 10,761.02 = 5,276.52 : x
  2. Step 2: Convert to fraction form
    7,795.64/10,761.02 = 5,276.52/x
  3. Step 3: Cross multiply
    7,795.64x = 10,761.02 × 5,276.52
  4. Step 4: Simplify right side
    7,795.64x = 56,780,737.25
  5. Step 5: Solve for x
    x = 56,780,737.25/7,795.64
  6. Step 6: Final answer
    x = 7,283.65

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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.