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Finding the Fourth Proportional to 7,877.84, 11,793.88 and 4,580.88

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Solution

The fourth proportional to 7,877.84, 11,793.88 and 4,580.88 is: 6,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.84 : 11,793.88 = 4,580.88 : x
  2. Step 2: Convert to fraction form
    7,877.84/11,793.88 = 4,580.88/x
  3. Step 3: Cross multiply
    7,877.84x = 11,793.88 × 4,580.88
  4. Step 4: Simplify right side
    7,877.84x = 54,026,349.01
  5. Step 5: Solve for x
    x = 54,026,349.01/7,877.84
  6. Step 6: Final answer
    x = 6,858.02

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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.