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Finding the Fourth Proportional to 7,877.80, 11,816.70 and 7,100.20

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Solution

The fourth proportional to 7,877.80, 11,816.70 and 7,100.20 is: 10,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.80 : 11,816.70 = 7,100.20 : x
  2. Step 2: Convert to fraction form
    7,877.80/11,816.70 = 7,100.20/x
  3. Step 3: Cross multiply
    7,877.80x = 11,816.70 × 7,100.20
  4. Step 4: Simplify right side
    7,877.80x = 83,900,933.34
  5. Step 5: Solve for x
    x = 83,900,933.34/7,877.80
  6. Step 6: Final answer
    x = 10,650.30

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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.